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

MCQ

$\lim _{x \rightarrow 0} \frac{\sqrt{1+x}-1}{x}$ is equal to

✓
$\frac{1}{2}$
B
2
C
$0$
D
1

✓

Answer

Correct option: A.

$\frac{1}{2}$

(A)
$\lim _{x \rightarrow 0} \frac{(1+x)^{ n }-1}{x}= n$
$\lim _{x \rightarrow 0} \frac{\sqrt{1+x}-1}{x}=\frac{1}{2}$

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