Yes. In some cases, "Undefined" is the best answer to the question. Remember that your operation (exponentation, or the 'power' of a number) is under the 'Rules', called axioms, of the field of Real Numbers. Your question has an infinity, which is not a real number, so it's not a surprise that things don't work out into a normal answer. In some cases, problems with infinity can be better understood through limits. An expression like "1 / infinity" is also undefined, but the limit (as x approaches positive infinity) of 1 / x is equal to zero. But in this case, there isn't even a limit: there is no amount or number that (-1) ^ infinity "converges to". Answer from CatOfGrey on reddit.com
Texas Instruments
education.ti.com › en › customer-support › knowledge-base › ti-83-84-plus-family › product-usage › 34840
Solution 34840: Specifying Infinity in a Calculation on the TI-83 Plus and TI-84 Plus Family of Graphing Calculators.
An alternate method for inputting values for either positive or negative infinity can be used. Example - To specify positive infinity, input 1E99. To specify negative infinity, input -1E99.
MathsisFun
mathsisfun.com › calculus › limits-infinity.html
Limits to Infinity
It is a mathematical way of saying "we are not talking about when n=∞, but we know as n gets bigger, the answer gets closer and closer to the value of e". If we try to use infinity as a "very large real number" (it isn't!) we get: ... So don't try using Infinity as a real number: you can get wrong answers! Limits are the right way to go. I have taken a gentle approach to limits so far, and shown tables and graphs to illustrate the points. But to "evaluate" (in other words calculate) the value of a limit can take a bit more effort.
Videos
Mashup Math
mashupmath.com › blog › how-to-get-infinity-on-a-calculator
How to Get Infinity on a Calculator—Explained — Mashup Math
October 9, 2024 - For example, the popular TI-84 graphing calculator from Texas Instruments does not have an infinity button, but it does have the capability the make calculations involving infinity by inputting 1E99 (or -1E99 to specify negative infinity).
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Reddit
reddit.com › r/learnmath › what is (-1)^ infinity?
r/learnmath on Reddit: What is (-1)^ infinity?
December 20, 2019 -
I know infinity is not a number so is this question undefined or something Can anyone explain it to me please
Top answer 1 of 9
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Yes. In some cases, "Undefined" is the best answer to the question. Remember that your operation (exponentation, or the 'power' of a number) is under the 'Rules', called axioms, of the field of Real Numbers. Your question has an infinity, which is not a real number, so it's not a surprise that things don't work out into a normal answer. In some cases, problems with infinity can be better understood through limits. An expression like "1 / infinity" is also undefined, but the limit (as x approaches positive infinity) of 1 / x is equal to zero. But in this case, there isn't even a limit: there is no amount or number that (-1) ^ infinity "converges to".
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Infinity is undefined so in a sense you've answered your question. This is like asking what is (-1)^apple when there is no definition of a value for "apple". This is not a put down, you are asking for an explanation what happens when one performs an operation on an object that the operation isn't defined for. I believe that there are mathematicians who try to extend the ideas of infinity and how certain operations work by applying these ideas. But this would be the realm (I suppose) of PhD abstract maths.
Study.com
study.com › courses › math courses › math 104: calculus
Solving 1 Divided by Infinity - Lesson | Study.com
August 25, 2020 - Explore dividing one by infinity. Through this undefined problem, discover the limits of a function and how to use graphs to reveal an asymptote...
SnapXam
snapxam.com › calculators › operations-with-infinity-calculator
Operations with Infinity Calculator & Solver - SnapXam
Operations with Infinity Calculator online with solution and steps. Detailed step by step solutions to your Operations with Infinity problems with our math solver and online calculator.
Quora
quora.com › How-do-I-find-infinity-using-a-calculator
How to find infinity using a calculator - Quora
Answer (1 of 6): The closest thing you can get to it as by forcing an overflow error. Enter 1/0. The calculator will indicate an overflow error, or just say error. In an excel document you’ll see the expression #DIV/0! That’s not a factorial sign at the end, that’s an actual exclamation ...
Math Central
mathcentral.uregina.ca › qq › database › qq.02.06 › evan1.html
1/infinity and 1/0
Question: I was thinking the other day when i was in math class that when you divide 1 by say n you'll get 1/n. As the value of n increases the smaller the number you get. So if you divide 1/infinity would that equal zero? And if that is true then would 1/0=infinity be true also · Your observation ...
Math Central
mathcentral.uregina.ca › QQ › database › QQ.09.09 › h › jack1.html
Ascribing a value to 1/infinity - Math Central
Question from Jack, a student: · Hello, and, in advance, thanks for answering
Quora
quora.com › How-do-I-input-infinity-in-an-FX-991ES-PLUS-calculator
How to input infinity in an FX-991ES PLUS calculator - Quora
Answer (1 of 5): As you already know, infinity is not a number, so for this reason, you cannot actually input infinity into a calculator. However, it is possible to simulate infinity, depending on the problem.
Story of Mathematics
storyofmathematics.com › 1-infinity
Solving 1 Divided by Infinity - The Story of Mathematics - A History of Mathematical Thought from Ancient Times to the Modern Day
March 21, 2023 - Solving $1/\infty$ is the same as solving for the limit of $1/x$ as $x$ approaches infinity, so using the definition of limit, 1 divided by infinity is equal to $0$. Now, we want to know the answer when we divide 1 by infinity, denoted as $1/\infty$, which we know does not exist since there exists no number that is largest among all. However, if we will use the definition of a limit of a function and evaluate the function $1/x$, where $x$ becomes larger and larger, we will see that the function $1/x$ approaches a particular number. The following table, Table 1, shows the value of $1/x$ as $x$ gets larger and larger.
Lightandmatter
lightandmatter.com › calc › inf
Inf -- a calculator that can handle infinite and infinitesimal numbers
Here are some examples you can ... · d<10^-10 ... true, because d is smaller than any positive real number ... The expression 1/0 comes up as undefined, not an infinite number....
Web2.0calc
web2.0calc.com › questions › what-is-infinity-divided-by-infinity-1
View question - what is infinity divided by (infinity - 1)?
so yeah it just heads toward zero. ... and an infinite string of zeroes followed by a single one. ... But this is an indeterminate value; that is, it could have many different answers; the answer depends upon the question from which it arose --- it could be ∞, or -6, or 1, or π, or ... depending upon the problem. Just pay attention when you take calculus ...
Quora
quora.com › What-is-the-value-of-1-infinity
What is the value of (-1) ^infinity =? - Quora
Answer (1 of 12): Others have addressed why this is undefined, but none have properly addressed the behaviour of (-1)^{x}. Using Euler’s identity, you can rewrite the limit of \displaystyle\lim_{x \to \infty} (-1)^{x} as \lim_{x \to \infty} e^{i\pi.x}. The value of e^{i\pi.x} is real where ...
TikTok
tiktok.com › discover › how-to-get-infinity-on-calculator-casio
How to Get Infinity on Calculator Casio | TikTok
6 days ago - Casio fx-9750giii graphing calculator,math problem calculator,how to use Casio calculator,6 divided by 2 times 1 plus 2,calculator with parentheses handling,Casio graphing calculator tutorial,fx-9750giii math equation handling,calculating with Casio graphing,understanding calculator operations ... How to do *infinity* from calculator #fypシ How to Make Infinity on Calculator.
Simon Fraser University
sfu.ca › math-coursenotes › Math 157 Course Notes › sec_InfLimits.html
Limits at Infinity, Infinite Limits and Asymptotes
Suppose that a falling object reaches velocity \(v(t)=50(1-e^{-t/5})\) at time \(t\text{,}\) where distance is measured in \(m\) and time \(s\text{.}\) What is the object's terminal velocity, i.e. the value of \(v(t)\) as \(t\) goes to infinity?
Infinity
startinfinity.com › help › 1.0 › attributes › formula
Formula | Infinity
Now, let’s say that we want to ... select SUM from the drop-down menu. The syntax for this function is as follows: SUM(value1, [value2, ...])...
Quora
quora.com › What-is-1-infinity-3
What is 1/infinity? - Quora
Answer (1 of 49): Usually, \frac{1}{\infty} is nonsensical, because \infty is not a number; it's a symbol used in limits to mean “without limit”, and doesn't really have meaning outside the concept of limits. However, there is the case of the Riemann sphere, which extends the Complex Numbers ...
Quora
quora.com › Is-1-infinity-equal-to-0
Is 1/infinity equal to 0? - Quora
Answer (1 of 93): Not immediately, no. It is equal to an unknown, infinitesimally decimated integer, the resolution and granularity of which depend upon the context and concepts involved. That said, zero doesn't mean, “nothing”, it means, “none”, which means, “not one”. So zero ...
Calcul
calcul.io › constants › Infinity
Calcul.io · constant Infinity · online calculator
Calcul.io provides a wide range of constants, including Infinity: Infinity, a number which is larger than the maximum number that can b1