Let R → R be a differentiable function such that f(0) = 0, f(π/2) = 3 and f'(0) = 1.

Let R → R be a differentiable function such that f(0) = 0, f(π/2) = 3 and f'(0) = 1. If g(x) = ∫[f'(t)cosect - cot t cosec t f(t)]dt for t ∈ [x, π/2] for x ∈ (0, π/2], then lim_(x_→₀₎ g(x) = ______.

Let R → R be a differentiable function such that f(0) = 0, f(π/2) = 3 and f'(0) = 1.

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