Given below are two statements. Statement - 1 : For any n ∈ N, we have _ 0 ^ | x x | d x…
Mathematics · JEE Main · NTA Exams — Integral Calculus
Given below are two statements.
Statement - 1 : For any n ∈ N, we have \(\int_{0}^{\pi \pi}\left|\frac{\sin x}{x}\right| d x \geq \frac{2}{\pi}\left(1+\frac{1}{2}+\frac{1}{3}+\ldots+\frac{1}{\pi}\right)\)
statement - 2 : \(\frac{\sin x}{x} \geq \frac{2}{\pi}\) on \(\left(0, \frac{\pi}{2}\right)\)
In the light of the above statements, choose the correct answer from the options given below:
- Both Statements are true and Statement - 2 is the correct explanation for Statement - 1
- Both Statements are true and Statement - 2 is not a correct explanation for Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 is false and Statement - 2 is true
Answer
(C) Statement - 1 is true and Statement - 2 is false
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