JEE Mains · Maths · STD 12 - 7.2 definite integral
\(\lim \limits_{x \rightarrow 1}\left(\frac{\int \limits_{0}^{(x-1)^{2}} \operatorname{tcos}\left(t^{2}\right) d t}{(x-1) \sin (x-1)}\right)\) is equal to
- A does not exist
- B \(\frac{1}{2}\)
- C \(1\)
- D \(\frac{-1}{2}\)
Answer & Solution
Correct Answer
(A) does not exist
Step-by-step Solution
Detailed explanation
\(\lim _{x \rightarrow 1} \frac{\int_{0}^{(x-1)^{2}} t \cos \left(t^{2}\right) d t}{(x-1) \sin (x-1)}\left(\frac{0}{0}\right)\) Apply L Hopital Rule…
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