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Math · Advanced Math
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Please give a complete proofs why (a) is correct and why (b) is not correct.

(a) a continuous function f (0,1)R and a Cauchy sequence (xn) such that f(xn) is not a Cauchy sequence; (b) a continuous function f [0, 1] - R and a Cauchy sequence (x) such that f (xn) is not a Cauchy sequence;

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