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  3. 3 in problem 14 of exercise set 35 we have...

Question: 3 in problem 14 of exercise set 35 we have...

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3. In problem 14 of exercise set 3.5, we have proved that if f is continuous on [0, 1] and maps [0, 1] into [0, 1], then f has at least one fixed point, that is a point q [0,1] such that f(a)-q Suppose in addition that f is differentiable and that If(x)) < 1 for all z e (0,1). Prove now that the fixed point is unique.
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