# Thread: L'Hospital's Rule Example with ln

1. ## L'Hospital's Rule Example with ln

$\lim x \rightarrow \infty[\dfrac{\ln x}{\sqrt{x}}]$

$\lim x \rightarrow \infty(\ln x)}(x^{-1/2})$

$\lim x \rightarrow \infty(\ln (\infty))}((\infty)^{-1/2})$ What does this come out to? Any hint?

3. ## Re: L'Hospital's Rule Example with ln

Originally Posted by ibdutt
Rewrite your expression with the square root in the denominator. L'Hospital rule is to take the derivative of the numerator, and the derivative of the denominator separatly to remove undetermination, such as 0/0 or inf/inf.