Let f and g be real valued functions defined on interval (-1, 1) such that g''(x) is continuous, g(0) ≠ 0, g′(0) = 0, g''(0) ≠ 0, and f(x) = g(x) sin x.
Statement-1: lim(x →0) [g(x) cotx - g(0)cosecx] = 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
