_ x 0 _ 0 ^ x t (10 t) d t x is equal to - Vidyadip

MCQ

$\lim\limits_{x \rightarrow 0} \frac{\int\limits_{0}^{x} t \sin (10 t) d t}{x}$ is equal to

✓
$0$
B
$-\frac{1}{5}$
C
$-\frac{1}{10}$
D
$\frac{1}{10}$

✓

Answer

Correct option: A.

$0$

a
Using $L.H.$ Rule

$\lim _{x \rightarrow 0} \frac{x \sin (10 x)}{1}=0$

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