Let f(x) : R→[-1,1] be twice differentiable function such that f²(0) +(f'(0))²=4 then which of the following(s) is/are correct
(a) There exists \(\alpha,\beta \in R\) where \(\alpha<\beta\) such that f is one-one in the interval \((\alpha,\beta)\)
(b) There exists \(c\in (0,2)\) such that \(\mid\)f'(c)\(\mid \leq\)1
(c) \(\lim\limits_{x \to \infty} f(x) = 1\)
(d) There exists some x0 f(x0) + f"(x0) = 0 but f'(x0) \(\not=\) 0
