Question: Please help me with this study question. Thanks! Problem 6. (10 points). Let us say that a sequence of real numbers (br ) is a

Please help me with this study question. Thanks!

Problem 6. (10 points). Let us say that a sequence of real numbers (br ) is a "good" sequence if for every & > 0 there exists / such that n 2 N = 10n+1 - bul E. 2 (1) Let n bn = > 1=1 Show that (b,) is a " good" sequence. (2) Show that if (b,) is a Cauchy sequence then it is "good". Is every "good" sequence Cauchy? Prove your

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