(20 points) Let r e R be a fixed real number such that Iri < 1 and (In) be a bounded sequence of real numbers. Consider
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(20 points) Let r e R be a fixed real number such that Iri < 1 and (In) be a bounded sequence of real numbers. Consider
(20 points) Let r e R be a fixed real number such that Iri < 1 and (In) be a bounded sequence of real numbers. Consider another sequence (yn) of real numbers defined by Yn := 1+r21 +r222 +...+re in for each n E N. Use the e-H definition to prove that (yn) is a Cauchy sequence.
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