Question

lim_{(x → π/4)} ((f(t)dt for t ∈ [2, sec²x])/(x² - π²/16))

(A) 8/πf(2)

(B) 2/πf(2)

(C) 2/πf(1/2)

(D) 4f(2)

Answer 1

Answer is (A) 8/πf(2)

We have

Using L’ Hospital’s rule, we get