# Question #aad37

##### 1 Answer

Sep 25, 2016

#### Explanation:

Combining the fractions:

Plug in

But first we consolidate the numerator and denominator

and by L'Hôpital's Rule

As the numerator and denominator are continuous, so is the quotient. So can now plug the value x = 5 directly in:

L'Hôpital's Rule, to me, is kinda brute-force meets black-box, so if you need a more refined solution, do ask.