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BYJUS
byjus.com › maths › infinity
Infinity - BYJU'S
October 10, 2022 - The infinity symbol is sometimes called the lemniscate and is a mathematical symbol representing the concept of infinity. The sign of infinity is used more often to represent a potential infinity, rather than to represent an actually infinite ...

mathematical symbol ∞ (U+221E), lemniscate

Strength tarot card, depicting a woman crowned by an infinity symbol, holding shut a lion's mouth
{\displaystyle \infty }
{\displaystyle \sum _{n=0}^{\infty }{\frac {1}{2^{n}}}=\lim _{x\to \infty }{\frac {2^{x}-1}{2^{x-1}}}=2,}
The infinity symbol (∞) is a mathematical symbol representing the concept of infinity. This symbol is also called a lemniscate, after the lemniscate curves of a similar shape studied in algebraic geometry, … Wikipedia
Factsheet
∞ {\displaystyle \infty }
In Unicode U+221E ∞ INFINITY (∞)
Different from U+267E ♾ PERMANENT PAPER SIGN
U+26AD ⚭ MARRIAGE SYMBOL
U+221D ∝ PROPORTIONAL TO
Factsheet
∞ {\displaystyle \infty }
In Unicode U+221E ∞ INFINITY (∞)
Different from U+267E ♾ PERMANENT PAPER SIGN
U+26AD ⚭ MARRIAGE SYMBOL
U+221D ∝ PROPORTIONAL TO
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Wikipedia
en.wikipedia.org › wiki › Infinity_symbol
Infinity symbol - Wikipedia
6 hours ago - The infinity symbol (∞) is a mathematical symbol representing the concept of infinity. This symbol is also called a lemniscate, after the lemniscate curves of a similar shape studied in algebraic geometry, or "lazy eight", in the terminology of livestock branding.
Discussions

calculus - A function's limit gives infinity symbol with tilde - Mathematics Stack Exchange
I made a function while studying some unsolved problem ($3x+1$ problem) and wanted to find a function's limit. Im no well educated mathematician so I used Symbolab with L'Hopital's rule. I got this strange infinity symbol: More on math.stackexchange.com
🌐 math.stackexchange.com
March 20, 2022
Symbol for “beyond”
Hi there, Can anyone tell me if there is a mathematical symbol for beyond? I’m thinking possibly “>” could work? I’m trying to say the phrase “to infinity and beyond” I have this: 2 [infinity symbol] & > Thanks! More on freemathhelp.com
🌐 freemathhelp.com
July 27, 2019
Does the Infinity Symbol (∞) have any meaning on its own?
Infinity (like most symbols in math) has many different meanings, depending on context. If you look up the definition of "limit at infinity" or "limit is equal to infinity" in a real-analysis textbook, you'll usually see that it is treated differently from 'regular' limits, since that ∞ isn't actually a real-number. For example, you might see something like the following as the definition of a limit: The notation L = lim f(x) as x goes to c means that for any ε, there exists a δ such that for all u where |u - x| < δ, |f(u) - L| < ε. This definition gives meaning to things like "1 = lim sin(x) / x as x goes to 0". However, it doesn't give meaning to the notion "0 = lim 1/x as x goes to ∞", nor "∞ = lim 1/x2 as x goes to 0", since conditions like |f(u) - ∞| < ε or |∞ - x| < δ are not well-defined. Instead, you'll also see some additional definitions: The notation ∞ = lim f(x) as x goes to c means that for any N, there exists a δ such that for all u where |u - x| < δ, f(u) > N. The notation L = lim f(x) as x goes to ∞ means that for any ε, there exist a N such that for all u where u > N, |f(u) - L| < ε Sometimes these multiple definitions can be unified using, for example, the extended real numbers . This saves some writing by generalizing the |a - b| < c notion of "distance" to also work on ±∞. However, this is basically just a notational convenience -- you have to be wary of using the extended-real-numbers, because most of the properties that you take for granted of real numbers don't necessarily apply to the extended reals. For example, if you have real numbers obeying x = y + c, you also know that x - c = y. However, if any of these can be "±∞", the first equation doesn't necessarily make the second one true (For example, ∞ = 1 + ∞ is true when those symbols indicate operations on extended real numbers, but ∞ - ∞ = 1 is not true). Infinity has many other uses in mathematics, beyond limits, but it's where you'll probably come across it first. More involved uses of infinities have to distinguish between different kinds of infinities (such as with cardinalities and ordinalities) -- but that's a topic for another day. More on reddit.com
🌐 r/learnmath
8
0
March 15, 2020
what is the symbol for infinity to the power of infinity
A weird looking X or N? Are you talking about aleph? Though it's not really infinity to the power of infinity... More on reddit.com
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14
2
July 27, 2023
People also ask

What is the symbol of infinity?
The symbol of infinity is ∞.
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byjus.com
byjus.com › maths › infinity
Infinity - BYJU'S
What is the multiplication property of infinity?
As per multiplication property, if any number is multiplied by infinity then the value of product is also equal to infinity. For example, 100 x ∞ = ∞
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byjus.com
byjus.com › maths › infinity
Infinity - BYJU'S
What do you mean by infinity?
Infinity is related to something that has no end or which is boundless. In mathematics, sometimes infinity is also mentioned as undefined.
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byjus.com
byjus.com › maths › infinity
Infinity - BYJU'S
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Wumbo
wumbo.net › symbols › infinity
Infinity Symbol (∞)
The infinity symbol in math represents the concept of infinity. For example, the symbol is used in the notation of a limit to denote that the variable grows arbitrarily large, rather than literally meaning an infinite value.
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Infinity Symbol
infinitysymbol.net
Infinity Symbol ∞
The infinity symbol (∞) represents a line that never ends. The common sign for infinity, ∞, was first time used by Wallis in the mid 1650s. He also introduced 1/∞ for an infinitesimal which is so small that it can’t be measured.
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Encyclopedia Britannica
britannica.com › science › mathematics
Infinity | Definition, Symbol, & Facts | Britannica
1 month ago - The common symbol for infinity, ∞, was invented by the English mathematician John Wallis in 1655. Three main types of infinity may be distinguished: the mathematical, the physical, and the metaphysical.
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Dartmouth College
math.dartmouth.edu › ~matc › Readers › HowManyAngels › InfinityMind › IM.html
Infinity
For instance, in the 1700s the infinity symbol began appearing on the Tarot card known as the Juggler or the Magus. It is an interesting coincidence that the Qabbalistic symbol associated with this particular Tarot card is the Hebrew letter À (pronounced alef), for Georg Cantor, the founder of the modern mathematical theory of the infinite, used the symbol À
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RapidTables
rapidtables.com › math › symbols › Infinity_Symbol.html
Infinity symbol (∞) - RapidTables.com
The infinity symbol is a mathematical symbol that represents an infinitely large number.
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GeeksforGeeks
geeksforgeeks.org › mathematics › infinity
Infinity in Maths | Concept, Symbol, Meaning & Properties - GeeksforGeeks
July 23, 2025 - Frequently used to denote potential infinity, signifying values that continue indefinitely without reaching a finite endpoint. In math, the symbol represents infinity. It's used in different math operations like adding up numbers (summations) ...
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Wikipedia
en.wikipedia.org › wiki › Infinity
Infinity - Wikipedia
3 days ago - In 1699, Isaac Newton wrote about equations with an infinite number of terms in his work De analysi per aequationes numero terminorum infinitas. ... {\displaystyle \infty } (sometimes called the lemniscate) is a mathematical symbol representing ...
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Mathnasium
mathnasium.com › math-centers › sherwood › news › what-infinity-sher
What is Infinity?
June 15, 2022 - It is a state of endlessness or having no time, space, or other quantity limits. The common symbol for infinity, ∞, was invented by the English mathematician John Wallis in 1657.
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Quora
quora.com › What-does-an-infinity-sign-horizontal-8-with-a-cut-on-the-right-edge-mean-in-mathematics-What-are-the-examples
What does an infinity sign (horizontal 8) with a cut on the right edge mean in mathematics? What are the examples? - Quora
Answer (1 of 5): A2A, thanks. It means “is proportional to”: What is proportionality? - Definition from WhatIs.com Google Image Result for https://i.ytimg.com/vi/YK_5X4BSouk/maxresdefault.jpg Example: the force is proportional to the acceleration, and not to the speed.
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Study.com
study.com › courses › math courses › math for kids
Infinity in Math | Definition, Symbol & Signs - Lesson | Study.com
August 13, 2025 - Have you ever wondered what ''infinity'' means? Is it a place? Is it a number? Well, in math, infinity is the idea that something has no endpoint and goes on forever. The symbol for infinity looks like a sideways 8.
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Quora
quora.com › What-is-the-mathematical-symbol-for-infinity-What-is-the-mathematical-symbol-for-eternity
What is the mathematical symbol for infinity? What is the mathematical symbol for eternity? - Quora
Answer: The mathematical symbol for infinity is \infty. It was invented as a closed path that you may indefinitely periodically circumvent (imagine a racing track but be careful of the collisions in the middle); it is the second simplest such ...
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Free Math Help Forum
freemathhelp.com › forums › free math help › math odds & ends
Symbol for “beyond”
July 27, 2019 - A philosophy professor of mine was fond of saying "infinity is where a mathematician hides his ignorance". ... Hi Thanks for the reply. It was more of a play on words... from Toy Story ? I just wondered if there is a way to portray “beyond” ... Hello there, Its(sic)_me_123. I'd probably read 2 ∞ & > as "To infinity and greater than".
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ITPro Today
itprotoday.com › home › microsoft windows
How Do I Type the Infinity (∞) Symbol?
March 15, 2025 - Click on the infinity symbol that appears. On an Android device, the infinity symbol can be found in the numbers and symbols keyboard.
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Mathematics Monster
mathematics-monster.com › symbols › Infinity.html
The "Infinity (∞)" Symbol
Infinity is used to represent infinity. Codes: Alt 8734, HTML ∞, hex U+221E.
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Infinity Symbol
infinitysymbol.net › infinity-symbol-in-math-and-history
Infinity Symbol in Math and History
In math, the infinity symbol is used and treated just like it is a number, but this number isn’t a specific one. It only represents the concept of endlessness. In metaphysics, this symbol is associated with stability and harmony. In Chinese philosophy, the symbol ∞ is linked to good luck ...
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Reddit
reddit.com › r/learnmath › does the infinity symbol (∞) have any meaning on its own?
r/learnmath on Reddit: Does the Infinity Symbol (∞) have any meaning on its own?
March 15, 2020 -

Sometimes when we write limits, we say that the limit = ∞. Does that symbol have any sort of meaning on its own, just like 1 and 2 have their own meanings, and so we say that the limit is whatever that symbol represents? Or is the ∞ symbol nonsensical outside of the context of limits like that (because we define the meaning of the expression as a whole?) If its something like the former, does that mean we can substitute the limit expression into areas of math where ∞ is used, just like we can substitute normal limits into arithmetic and treat them as the numbers they equal?

It would be weird to me to use the equal sign if we don't actually mean "equal" (like we do in 1 + 1 = 2).

Top answer
1 of 2
5
Infinity (like most symbols in math) has many different meanings, depending on context. If you look up the definition of "limit at infinity" or "limit is equal to infinity" in a real-analysis textbook, you'll usually see that it is treated differently from 'regular' limits, since that ∞ isn't actually a real-number. For example, you might see something like the following as the definition of a limit: The notation L = lim f(x) as x goes to c means that for any ε, there exists a δ such that for all u where |u - x| < δ, |f(u) - L| < ε. This definition gives meaning to things like "1 = lim sin(x) / x as x goes to 0". However, it doesn't give meaning to the notion "0 = lim 1/x as x goes to ∞", nor "∞ = lim 1/x2 as x goes to 0", since conditions like |f(u) - ∞| < ε or |∞ - x| < δ are not well-defined. Instead, you'll also see some additional definitions: The notation ∞ = lim f(x) as x goes to c means that for any N, there exists a δ such that for all u where |u - x| < δ, f(u) > N. The notation L = lim f(x) as x goes to ∞ means that for any ε, there exist a N such that for all u where u > N, |f(u) - L| < ε Sometimes these multiple definitions can be unified using, for example, the extended real numbers . This saves some writing by generalizing the |a - b| < c notion of "distance" to also work on ±∞. However, this is basically just a notational convenience -- you have to be wary of using the extended-real-numbers, because most of the properties that you take for granted of real numbers don't necessarily apply to the extended reals. For example, if you have real numbers obeying x = y + c, you also know that x - c = y. However, if any of these can be "±∞", the first equation doesn't necessarily make the second one true (For example, ∞ = 1 + ∞ is true when those symbols indicate operations on extended real numbers, but ∞ - ∞ = 1 is not true). Infinity has many other uses in mathematics, beyond limits, but it's where you'll probably come across it first. More involved uses of infinities have to distinguish between different kinds of infinities (such as with cardinalities and ordinalities) -- but that's a topic for another day.
2 of 2
1
No symbol has any meaning "on its own." The symbols '1' and '2' have defined meanings. They only seem God-given because you were taught them at an early age.
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Reddit
reddit.com › r/learnmath › what is the symbol for infinity to the power of infinity
r/learnmath on Reddit: what is the symbol for infinity to the power of infinity
July 27, 2023 -

when I was in highschool my math teacher was talking about infinity and he says there is a symbol for infinity to the power of infinity and he drew this weird symbol that was a weird looking X or N and you could square that. It always stuck with me, whats the symbol called?

I tried detexify