Question

Let f : $R \rightarrow R$ be a differentiable function such that f(0) = 0, $f(\frac{\pi}{2})$ = 3, $f^{'}(0)$ = 1. If g(x) = $\int\limits^\frac{\pi}{2} _x {[f' (t)cosec \ t - cot \ t \ cosec \ t f(t)]} \, dt$ for $x \in \bigg \lgroup 0, \frac{\pi}{2} \bigg ]$, then $\underset{{x \to 0}}{\lim} g(x)$ =

Answer 1

Answer:

Step-by-step explanation:

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