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What is infinity divided by infinity?

 Oct 8, 2019
 #1
avatar+105700 
+3

It is undefined.  (Unless you have more information)

Here is an example of why.

 

   \(\displaystyle \lim_{x\rightarrow \infty} 2x=\infty\\ \displaystyle \lim_{x\rightarrow \infty} 3x=\infty\\ BUT\\ \displaystyle \lim_{x\rightarrow \infty} \frac{2x}{3x}=\frac{2}{3}\)

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 Oct 8, 2019
 #2
avatar+2417 
+2

Wow I thought it was 1

CalculatorUser  Oct 8, 2019
 #3
avatar+6045 
+2

you can set up a ratio such that both numerator and denominator both go to infinity 

yet the ratio has any finite value you like.

Rom  Oct 8, 2019
 #4
avatar+2417 
+2

Math is big and wonderful and cool and fascinating and happy and smart and good and beautiful

CalculatorUser  Oct 8, 2019
 #5
avatar
+1

big brain!!!! lol

 Oct 8, 2019

10 Online Users