_ x 0 [ 5+ (x+1) 5 x ] is equal to - Vidyadip

MCQ

$\lim _{x \rightarrow 0}\left[\frac{\log 5+\log \frac{(x+1)}{5}}{x}\right]$ is equal to

✓
1
B
-1
C
$-\frac{1}{2}$
D
$\frac{1}{2}$

✓

Answer

Correct option: A.

1

(A)
$\lim _{x \rightarrow 0} \frac{\log 5+\log \frac{(x+1)}{5}}{x}=\lim _{x \rightarrow 0} \frac{\log \left(5 \times \frac{x+1}{5}\right)}{x}=1$

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