Question

limit of x---> infinity (1/e^x)????please help

Answer 1

0

Answer 2

please explain

Answer 3

As x goes to infinity e^x goes to infinity right?

Answer 4

yes

Answer 5

So what is 1/infinity? or, 1/(A REALLY LARGE NUMBER)
It approaches 0.

Answer 6

i saw that min x--->-infinity (e^x)=0 is it something similar

Answer 7

even though for this its -infinity?

Answer 8

1/10 = .1
1/100 = .01
1/1000 = .001
1/10000 = .0001
1/100000 = .00001
Let the denominator go to 10^10^10^10 or something haha

Well if you have:
\[\lim_{x \rightarrow \infty} \frac{1}{e^x} = \lim_{x \rightarrow \infty} e^{-x}\]
Just let x -> -x
\[\lim_{x \rightarrow \infty} e^{-x} =\lim_{-x \rightarrow \infty} e^{x}=\lim_{x \rightarrow -\infty}e^{x} = 0\]

Answer 9

ohh wow i see okay so it works for both pos or neg infinity as im understanding

Answer 10

Well, since one is 1/e^x and the other is e^x.

Answer 11

If you had:
\[\lim_{x \rightarrow \infty} e^x \rightarrow \infty\]

Answer 12

but it was neg infinity it would be 0?

Answer 13

*if

Answer 14

Thank you!