math question on infinity

label Mathematics
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what is infinity divided by infinity?

May 11th, 2015

You can't say. It could be infinity, 0 or any other value. What I'm saying is about function's limits. 

In another terms, it depends on how the first infinite is infinite compared to the second one.   


May 11th, 2015

how can one infinity be bigger than another?

May 11th, 2015

Let's take the case of the function f(x)=x^3/x^2

lim x^3 when x go infinity = infinity and lim x^2 when x go infinity = infinity 

We have an infinity/infinity case... but

x^3 go infinity quicker than x^2 so when x go infinity x^2 become negligeable in front of x^2 and limit of the function f is infinity. 

Also lim g(x)=x^2/x^3 when x goes infinity is 0



May 11th, 2015

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May 11th, 2015
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