A) \[0\]
B) \[\frac{1}{10}\]
C) \[-\frac{1}{5}\]
D) \[-\frac{1}{10}\]
Correct Answer: A
Solution :
\[\underset{x\to 0}{\mathop{lim}}\,\frac{\int\limits_{0}^{x}{t\sin (10t)dt}}{x}\] By L? hospital rule \[\underset{x\to 0}{\mathop{lim}}\,\frac{x\sin (10x)}{1}=0\]
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