_ x 0 x (1+x) is equal to - Vidyadip

MCQ

$\lim _{x \rightarrow 0} \frac{\tan x}{\log (1+x)}$ is equal to

✓
1
B
$0$
C
does not exist
D
-1

✓

Answer

Correct option: A.

1

(A)
$\lim _{x \rightarrow 0} \frac{\tan x}{\log (1+x)}=\lim _{x \rightarrow 0} \frac{\frac{\tan x}{x}}{\frac{\log (1+x)}{x}}=1$

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