Problem: Evaluate (if it exists) the limit
Solution: This is a standard problem, we want to find a limit of an expression that exists on a reduced neighborhood of the limit point. Thus we start by substituting this point into the expression.
This is an indeterminate ratio and no alternative way (cancelling, dominance etc.) seems available, so we go for the standard way, the l'Hospital rule.
The calculations can be simplified using substitution, thus we avoid the chain rule in the derivatives.
