Question: Let : [0, 1] R be continuously differentiable (i.e., they are differentiable and their derivatives are continuous) on (0,1), with a also increasing there.

Let : [0, 1] R be continuously differentiable (i.e., they are differentiable  

Let : [0, 1] R be continuously differentiable (i.e., they are differentiable and their derivatives are continuous) on (0,1), with a also increasing there. Show that there is c> 0 (o,) with such that for any >0, we have U(P.f.a) - L(P.f.a) < whenever P = 0= <

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