Question

How do I find the limit of an exponential function?

Answer 1

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` .