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Question

Mathematics Question on Limits

limx0logcosxx\lim_ {{x \to 0}} \frac {log\, cosx} {x} Is equal to

A

0

B

\infty

C

1

D

none of these

Answer

0

Explanation

Solution

limx0logcosxx\lim_ {{x \to 0}} \frac {log\, cos \, x} {x} = limx01cosx.sinx1 \lim_ {{x \to 0}} \frac{\frac{1}{cos \, x } . sin \, x}{1} = = 0(By L Hospital's Rule)