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JEE Mains · Maths · STD 12 - 7.2 definite integral
\(\lim\limits_{x \rightarrow 0} \frac{\int\limits_{0}^{x} t \sin (10 t) d t}{x}\) is equal to
- A \(0\)
- B \(-\frac{1}{5}\)
- C \(-\frac{1}{10}\)
- D \(\frac{1}{10}\)
Answer & Solution
Correct Answer
(A) \(0\)
Step-by-step Solution
Detailed explanation
Using \(L.H.\) Rule \(\lim _{x \rightarrow 0} \frac{x \sin (10 x)}{1}=0\)
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