It remains infinity. So understanding that we are talking just about limits, a negative number divided by infinty would be 0. Sometime back in elementary school, I first asked teachers, "What happens when you divide infinity by 2?" 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?" 2. 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. Find its width.? The expression {eq}\underset{x\rightarrow a}{lim}f(x) You can sign in to vote the answer. One positive integer is 7 less than twice another. Some teachers couldn't answer, and others told me, "It's still infinity!" The Mandelbrot set is a good example of this. You CAN take limits. Or, in the limit we will get zero. f(2) = \frac{a}{2}=\frac{1}{2}a\\\\ "Anything divided by itself equals one"**. Active 5 years, 2 months ago. how much money would i have if I saved up 5,200 for 6 years? 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. If the area of a rectangular yard is 140 square feet and its length is 20 feet. For example $\frac{1+1+1+\ldots}{2+2+2+\ldots}=\frac12$? The equation may look like this: infinity times infinity divided two equals a tendency towards zero and a tendency towards infinity. The function f is continuous on the open... Find the constants a and b such that the function... Find the limit limit_x to 2} x^2 - 4 / x^2 + 5 x -... For f(x)=\{\begin{matrix} 5x-3,x< 1 & x^{2}+4... Find the limit. 2/infinity . Anything divided an infinite amount of times means that it has an infinite amount of divided parts. Download our mobile app now. Parcly Taxel. Hard to wrap your mind around, but it's true. Infinity divided by infinity IS NOT ONE! f(3) = \frac{a}{3} = \frac{1}{3}a\\\\ Section 2-7 : Limits at Infinity, Part I . We see that as x gets larger and larger, or as x approaches infinity, {eq}f(x)=\frac{a}{x} Get your answers by asking now. Infinity is a mathematical concept not an actual number. Infinity divided by one IS NOT ONE EITHER. Infinity divided by anything (except infinity) is still infinity. 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 . To explain why this is the case, we will make use of limits. Still have questions? All other trademarks and copyrights are the property of their respective owners. = 1. One of their parts is only a value of zero. $$f(1)=\frac{a}{1}=a\\\\ © copyright 2003-2020 Study.com. As x gets larger and larger, the function f(x) would get smaller and smaller. {/eq}. This holds true no matter how large the number, including infinity. Ask Question Asked 9 years, 5 months ago. 100/infinity . You can't divide by it. {/eq}, where a is any real number, as x approaches infinity, or as x gets larger and larger. It remains infinity. Otherwise you can quickly get yourself into a pickle and end up saying 1=2. 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. NOTHING can change it. Infinity is AWAYS infinity. One divided by Infinity? Consider the function {eq}f(x) = \frac{a}{x} Infinity divided by infinity IS NOT ONE! Can science prove things that aren't repeatable? And if we have an infinity divided by another half-as-big infinity, would we get 2? Suppose q varies inversely as the square of r. If r is multiplied by x, what is its effect on q? **Response to below: Inifinty divided by infinity would equal one. asked Aug 11 '12 at 11:53. Any number divided by infinity is equal to 0. Did McCracken make that monolith in Utah? Infinity is a concept, not an actual number, so we can't just divide a number by infinity. The sum of their squares is 145? How can I find the answer to this problem 1/3x2/4 x 3/5x...x 98/100= I need the formula please. All rights reserved. the answer is half of infinity; which is infinity. So, we have a constant divided by an increasingly large number and so the result will be increasingly small. This equation is obvious incorrect. 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. 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. 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 71.2k 14 14 gold badges 86 86 silver badges 135 135 bronze badges. f(4) = \frac{a}{4}=\frac{1}{4}a\\\\ E.g, -2/x as x-->infinity = 0. {/eq}, so this demonstrates that if we divide any real number, a, by infinity, we get 0. Therefore, infinity divided by infinity is NOT equal to one. Infinity divided by one IS NOT ONE EITHER. But that solution is incorrect. Our experts can answer your tough homework and study questions. infinity divided by any finite number is infinity.. How do you think about the answers? However, we can evaluate the limit of {eq}\frac{a}{x} Anything divided an infinite amount of times means that it has an infinite amount of divided parts. 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