# Solving a limit with L'H's rule

## The Attempt at a Solution

Are you allowed to do that where you just apply L'H an infinite amount of times?

Mark44
Mentor

## The Attempt at a Solution

After taking the derivative of the denominator, you should get et, not eα. I suspect that was a typo.

Anyway, your limit is correct. The basic idea is that power functions, such as tα grow large, but exponential functions grow large faster.