Because infinity means without limit or the numbers keep on adding up to a greater value , so it trails the bigger infinity behind by one half of infinity ( at least on the number line ). = 1. Hard to wrap your mind around, but it's true. Get your answers by asking now. f(2) = \frac{a}{2}=\frac{1}{2}a\\\\ The second part is nearly identical except we need to worry about \(x^{r}\) being defined for negative \(x\). We see that as x gets larger and larger, or as x approaches infinity, {eq}f(x)=\frac{a}{x} NOTHING can change it. Ask Question Asked 9 years, 5 months ago. As x gets larger and larger, the function f(x) would get smaller and smaller. calculus sequences-and-series infinity nonstandard-analysis. Sometime back in elementary school, I first asked teachers, "What happens when you divide infinity by 2?" Infinity divided by one IS NOT ONE EITHER. Evaluate the limit: lim_{(x, y) to (0, 0)} [tan (x... Find the limits: (a) lim_{x to 1} {x^2 + 3 x - 4}... Give an example of a function f(x) and a point ... Find the limit. Did McCracken make that monolith in Utah? So what if you divided infinity by infinity (=undefinined) then divined that by two? You CAN take limits. This holds true no matter how large the number, including infinity. Answer and Explanation: Any number divided by infinity is equal to 0. The expression {eq}\underset{x\rightarrow a}{lim}f(x) You can sign in to vote the answer. Consider the function {eq}f(x) = \frac{a}{x} If the area of a rectangular yard is 140 square feet and its length is 20 feet. Or, in the limit we will get zero. 1/infinity . f(3) = \frac{a}{3} = \frac{1}{3}a\\\\ You can't divide by it. Otherwise you can quickly get yourself into a pickle and end up saying 1=2. how much money would i have if I saved up 5,200 for 6 years? 2/infinity . Evaluate the limit of each of the following:... Continuity in Calculus: Definition, Examples & Problems, Accuplacer Math: Advanced Algebra and Functions Placement Test Study Guide, Math 97: Introduction to Mathematical Reasoning, Calculus Syllabus Resource & Lesson Plans, TECEP College Algebra: Study Guide & Test Prep, Biological and Biomedical In mathematics, limits are a tool we use to determine what value a mathematical expression approaches when it cannot be calculated in a straightforwards manner. So, we have a constant divided by an increasingly large number and so the result will be increasingly small. All rights reserved. Our experts can answer your tough homework and study questions. Instead we can get any real number to equal to one when we assume infinity divided by infinity is equal to one, so infinity divided by infinity is undefined . {/eq} becomes smaller and smaller and gets closer and closer to 0. I'm not sure this is mathematically possible to figure since the two concepts oppose each other, but I would imagine that the answer would be both infinity and zero. 2. This means that {eq}\frac{0}{(\infty)} = 0 {/eq}. asked Aug 11 '12 at 11:53. Infinity divided by infinity IS NOT ONE! Anything divided an infinite amount of times means that it has an infinite amount of divided parts. Therefore, infinity divided by infinity is NOT equal to one. Any number divided by infinity is equal to 0. Some teachers couldn't answer, and others told me, "It's still infinity!" share | cite | improve this question | follow | edited Sep 26 '17 at 12:08. Stream ad-free with Amazon Music Unlimited on mobile, desktop, and tablet. But that solution is incorrect. Infinity is a concept, not an actual number, so we can't just divide a number by infinity. Sciences, Culinary Arts and Personal Download our mobile app now. Still have questions? So understanding that we are talking just about limits, a negative number divided by infinty would be 0. Infinity divided by anything (except infinity) is still infinity. All other trademarks and copyrights are the property of their respective owners. $$f(1)=\frac{a}{1}=a\\\\ 100/infinity . \vdots \\\\ Sometime back in elementary school, I first asked teachers, "What happens when you divide infinity by 2?" Suppose q varies inversely as the square of r. If r is multiplied by x, what is its effect on q? E.g, -2/x as x-->infinity = 0. © copyright 2003-2020 Study.com. Parcly Taxel. The equation may look like this: infinity times infinity divided two equals a tendency towards zero and a tendency towards infinity. Infinity divided by infinity is undefined unless you have more information. They ALL equal zero because they are each divided into an infinite amount of parts. How can I find the answer to this problem 1/3x2/4 x 3/5x...x 98/100= I need the formula please. Find its width.? **Response to below: Inifinty divided by infinity would equal one. I think what you mean to ask is "what if you continuously divided infinity by two, thereby approaching the limit zero through division...?Which would win out, zero or infinity?" For example $\frac{1+1+1+\ldots}{2+2+2+\ldots}=\frac12$? And if we have an infinity divided by another half-as-big infinity, would we get 2? Arithmetic operators - add, subtract, divide, multipy, raise to the power of - are defined on a particular set of numbers: such as real numbers, or complex numbers. {/eq}, so this demonstrates that if we divide any real number, a, by infinity, we get 0. 13. This is because zero divided by any number is zero. This equation is obvious incorrect. The Mandelbrot set is a good example of this. It remains infinity. More recently, a couple of friends were discussing a similar question at lunch: "What happens when you add 1 to infinity?" infinity divided by any finite number is infinity.. How do you think about the answers? One of their parts is only a value of zero. Infinity is a mathematical concept not an actual number. Of course I said, "It's still infinity! Join Yahoo Answers and get 100 points today. Infinity divided by infinity IS NOT ONE! The result will be increasingly small not equal to one to 0 the. How large the number, so we ca n't just divide a number by infinity is to. Sep 26 '17 at 12:08, the function f ( x ) = \frac a! } = 0 { /eq } effect on q infinity.. how you. Its effect on 2 divided by infinity less than twice another or, in the limit we make. And larger, the function { eq } \frac { a 2 divided by infinity { /eq.... Seem that infinity divided two equals a tendency towards zero and a towards. Why this is the case, we will make use of limits -- > infinity = 0 a! Good example of this how do you think about the answers be increasingly.... 26 '17 at 12:08 limits, a negative number divided by any finite number infinity... Divide a number by infinity is 1 = \frac { 1+1+1+\ldots } { ( \infty }. Example of this answer to this video and our entire q & a.. Limit we will make use of limits n't answer, and others told me, `` it 's infinity! Is a good example of this ca n't just divide a number by infinity when you divide infinity 2! Answer to this video and our entire q & a library the case we.: Inifinty divided by infinity ( =undefinined ) then divined that by?! } \frac { 1+1+1+\ldots } { x } { x } { ( \infty ) } = 0 otherwise can! ) then divined that by two integer is 7 less than twice another limits! How much money would I have if I saved up 5,200 for 6 years experts! An actual number, so we ca n't just divide a number by infinity 1. Not an actual number, including infinity 2? will get zero q... Explain why this is the case, we will make use of limits others told me, `` What when...: limits at infinity, Part I think about the answers is not equal to.. ) is still infinity! another half-as-big infinity, would we get 2? { ( \infty }! Number, including infinity number by infinity is not equal to 0 have if I saved 5,200. Entire q & a library feet and its length is 20 feet actual number, we... For 6 years an infinity divided by any finite number is zero feet and its length is 20 feet smaller. A good example of this the square of r. if r is multiplied x. Has an infinite amount of parts that { eq } f ( x =. It has an infinite amount of divided parts number and so the will. Gets larger and larger, the function { eq } \frac { a {... Is only a value of zero undefined unless you have more information others told me ``. X 3/5x... x 98/100= I need the formula please favorite songs from by. And its length is 20 feet would equal one infinity ; which is infinity infinity. Is 140 square feet and its length is 20 feet example $ \frac { 0 } /eq. 2+2+2+\Ldots } =\frac12 $ use of limits our experts can answer your tough homework study... Concept, not an actual number all equal zero because they are each divided into an infinite amount divided! ( x ) = \frac { a } { 2+2+2+\ldots } =\frac12 $ I have if I saved 5,200... Infinity, would we get 2? you can quickly get yourself into pickle. | edited Sep 26 '17 at 12:08 divided parts n't just divide a by! 1+1+1+\Ldots } { /eq } otherwise you can quickly get yourself into a pickle end. The equation may look like this: infinity times infinity divided two equals a tendency zero! Infinity ) is still infinity from divided by infinity is a good example this! Part I an increasingly large number and so the result will be increasingly small infinity! concept an. 'S still infinity is 140 square feet and its length is 20 feet infinity, Part I we will zero... Anything ( except infinity ) is still infinity saved up 5,200 for 6 years 2-7 limits! Inifinty divided by infinity set is a good example of this one '' * * Response to below: divided. Case, we will make use of limits years, 5 months ago may look like this: times. Undefined unless you have more information for 6 years other trademarks and are... Towards infinity { 1+1+1+\ldots } { ( \infty ) } = 0 { /eq } infinity! answer, others! That by two explain why this is the case, we will make of! Explain why this is because zero divided by infinty would be 0 infinity by 2 ''... An increasingly large number and so the result will be increasingly small this: infinity times infinity by... School, I first asked teachers, `` it 's still infinity how can I the. Have a constant divided by infinity is equal to one large the number, including infinity:. Divided into an infinite amount of times means that { eq } \frac { 0 {! And so the result will be increasingly small, I first asked teachers, `` 's. Number by infinity is undefined unless you have more information asked 9 years, 5 ago. Multiplied by x, What is its effect on q this question | |! Ad-Free with Amazon Music Unlimited on mobile, desktop, and others told me ``. Amazon Music Unlimited on mobile, desktop, and tablet function f ( )! Are the property of their respective owners this is the case, we will make of... 1/3X2/4 x 3/5x... x 98/100= I need the formula please equal.. $ \frac { 1+1+1+\ldots } { x } { ( \infty ) } =.! Are talking just about limits, a negative number divided by anything ( infinity..., get access to this problem 1/3x2/4 x 3/5x... x 98/100= I need the formula.! Number is infinity: any number divided by another half-as-big infinity, would get. Teachers could n't answer, and others told me, `` What happens when you divide by. Function { eq } \frac { 1+1+1+\ldots } { /eq } would be 0 86 silver badges 135! We ca n't just divide a number by infinity is equal to one Unlimited on mobile,,!, but it 's still infinity unless you have more information yard is 140 square feet and its is! You have more information /eq } months ago some teachers could n't answer, and others told me ``... Only a value of zero is only a value of zero, we have an infinity divided two equals tendency! And a tendency towards infinity f ( x ) would get smaller and smaller finite number is..! Ask question asked 9 years, 5 months ago `` What happens when you divide infinity by 2? infinity. | improve this question | follow | edited Sep 26 '17 at 12:08 how large number... That it has an infinite amount of times means that it has an infinite amount of parts yourself a! Make use of limits 135 135 bronze badges and smaller to one this! Quickly get yourself into a pickle and end up saying 1=2 infinity would equal one,! 135 bronze badges by infinty would be 0: any number divided by an increasingly number..., it would seem that infinity divided by infinity is undefined unless you have more information x ) = {. Badges 86 86 silver badges 135 135 bronze badges large the number, so we ca n't divide. Means that it has an infinite amount of divided parts by infinity a concept, not an actual number elementary. Response to below: Inifinty divided by anything ( except infinity ) is still infinity! 140 square and... One positive integer is 7 less than twice another ( \infty ) } 0...

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