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  3. 5 assume that f r r is such that f x f y x x...

5 Assume that f R R is such that f x f y X x...

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5 Assume that f R R is such that f x f y X x y for all x y E R and some 0 1 Pick xo E R arbitrarily and construct a sequence xn as follows In 1 f xn for n 0 a Prove that n 1 Xn xn Xn 1 for all n 1 b Prove that n 1 xn x xo for all n 1 c Prove that n is convergent d Let x limxn Prove that f x x

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