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1. Claim: Let f: A be differentiable on A and let {x n } be a Cauchy sequence contained in A. Then, {f(x n )}

1. Claim: Let f: A be differentiable on A and let {xn} be a Cauchy sequence contained in A. Then, {f(xn)} is a Cauchy.

(a) Is this claim true or false?

(b) If it is true then provide a proof and if it is false then give a counterexample?

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