_ x 4 _ 2 ^ ^ 2 x f(t) d t x^ 2 - ^ 2 16 equals
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
\[\lim _{x \rightarrow \frac{\pi}{4}} \frac{\int_{2}^{\sec ^{2} x} f(t) d t}{x^{2}-\frac{\pi^{2}}{16}}\] equals
- \(\frac{8}{\pi} f(2)\)
- \(\frac{2}{\pi} f(2)\)
- \(\frac{2}{\pi} f\left(\frac{1}{2}\right)\)
- 4f (2)
Answer
(A) 8 f(2)
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