Question

Find the limit as x approaches infinity of 8/(e^x - 5)

Answer 1

Mind starting out with a simpler problem? What is the limit as x approached infinity of 1/(x)?

of 1/(e^x) ?

Answer 2

0, right?

Answer 3

Oh, for some reason I thought I had put that before and it was incorrect. Thanks!

Answer 4

Yes, zero is the limit in both cases.
Now what is the limit as x approaches infinity of 1/(e^x -5) ?
Hint: relate this question to the previous one.