Suppose a and c are real numbers, c > 0 and f is defined on -1,1] by fxª sin(]x|=) to if x # 0) if x = 05 f(x) = Prove that i. f is continuous if an only if a > 0. f' is bounded if and only if a 2 1+c. ii. ii. f"(0)exists if and only if a > 2 + c.

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