Question

$\underset{x\to 0}{\lim }\frac{\log \cos x}{x}=$

• A. 0
• B. 1
• C. $\infty$
• D. None of these

Answer 1

Answer: (A)

$\underset{x\to 0}{\lim }\frac{\log \cos x}{x}$
$=\underset{x\to 0}{\lim }\frac{-\tan x}{1}$
(Using L'Hospital's rule)
$=0$