Question

f(x) = (2cosx - sin2x)/(π - 2x)²; g(x) = (e^-cosx - 1)/(8x - 4π)

h(x) = f(x) for x < π/2

= g(x) for x > π/2 then which of the following hold?

(A) h is continuous at x = π/2

(B) h has an irremovable discontinuity at x = π/2

(c) h has a removable discontinuity at x = π/2

(D) f(π⁺/2) = g(π^-/2) 

Answer 1

Answer is (B) h has an irremovable discontinuity at x = π/2