Prove the following

Question:

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

  1. 0

  2.  $-\frac{1}{5}$

  3. $-\frac{1}{10}$

  4. $\frac{1}{10}$


Correct Option: 1

Solution:

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