Evaluate the limit lim_(x → π/2) 1/(x - π/2)² ∫_x³^(π/2)³ cos(t^(… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 29 January, Shift 1Limits

Evaluate the limit $\lim_{x \to \frac{\pi}{2}} \frac{1}{\left(x - \frac{\pi}{2}\right)^2} \int_{x^3}^{\left(\frac{\pi}{2}\right)^3} \cos\left(t^{\frac{1}{3}}\right) \, dt$ , which is equal to:

A
$3\pi/8$
B
$3\pi^2/4$
C
$3\pi^2/8$
D
$3\pi/4$

Answer & step-by-step solution

Practice more Limits questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Limits

Answer & step-by-step solution

Practice more Limits questions

Related questions