Combining the fractions:
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.