Home > CALC > Chapter 10 > Lesson 10.3.1 > Problem10-114

10-114.

The denominator can be factored as:

$(\sqrt{x}+2)(\sqrt{x}-2)$

Use l'Hôpital's Rule, but only once.

Use l'Hôpital's Rule twice.

$=\lim_{x\to 0^+}\frac{1/x}{e^{1/x}(-x^{-2})}$

Rewrite the argument of the limit as: