See the explanation.
We must prove that
L'Hospital's Rule is a handy tool for calculating limits involving indeterminate forms like
If we are taking the limit
Apparently, when we use substitution method to evaluate the limit, we end up with an indeterminate form
L'Hospital's Rule states that instead of evaluating
we can evaluate the limit of
When we evaluate this limit we get
Hence, we will use the L'Hospital's Rule for our problem.
We will use these intermediate results in