# Compute the following limits using L'Hospital's Rule if appropriate. The limit of ((7^x)-7) / ((x^2)-1) as x approaches 1  and  The limit of ((tan^-1)(x)) / ((1/x)-7) as x approaches infinity

Question

Compute the following limits using L'Hospital's Rule if appropriate.

The limit of ((7^x)-7) / ((x^2)-1) as x approaches 1

and

The limit of ((tan^-1)(x)) / ((1/x)-7) as x approaches infinity