Question: Let h(x) be a differentiable function such that h(0) = 0, h(1) = 1, h(2) = 2, h(3) = 4 and h'(x) is differentiable for

Let h(x) be a differentiable function such that h(0) = 0, h(1) = 1, h(2) = 2, h(3) = 4 and h'(x) is differentiable for all x. Show that there exists a number a that is in the set (0,3) such that 1/3< h''(a)<1

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