Suppose a function a increases on [a, b}, a < xoS b, a is continuous at xo. Let f be a function defined in [a,b] such that f (xo) = 1 and %3D b f (x) = 0 for x# xo. Prove that f ɛ R (a) on [a, b] and f da= 0. a

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A: This is a problem of the application of differential calculus.

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