Solving a limit with L'H's rule

1. Oct 3, 2013

Turion

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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

2. Oct 3, 2013

Staff: Mentor

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.