Let f and g be real valued functions defined on interval (-1, 1) such that $$g''(x)$$ is continuous, $$g(0) \neq 0, g'(0) = 0, g''(0) \neq 0$$, and $$f(x) = g(x)\sin x$$.
STATEMENT-1: $$\lim_{x \rightarrow 0}[g(x)\cot x - g(0) \cosec x] =f''(0).$$
STATEMENT-2: $$f'(0) = g(0)$$.

A

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1

B

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1

C

STATEMENT-1 is True, STATEMENT-2 is False

D

STATEMENT-1 is False, STATEMENT-2 is True