2" Let an = 100+ and bn 1 for n >1. (n +3)! en en+1 (a) Show that {am} is monotone and bounded below and above by 100 and 1201 -, respectively. 12 (b) Prove that {an}=1 converges, but NOT to 0. (c) Determine whether bn is convergent or divergent. If the series is convergent, find its sum. n=1

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