How do I find the limit of an exponential function?

1 Answer
Jun 18, 2015

There is no one sentence answer.

Explanation:

Exponential functions are continuous on their domains, so you can evaluate a limit as the variable approaches a member of the domain by substitution.

For limits at infinity, use the facts:

For 0 < b < 1,
lim_(urarroo) b^u = 0 and lim_(urarr-oo) b^u = oo .

For 1 < b,
lim_(urarroo) b^u = oo and lim_(urarr-oo) b^u = 0 .