Answer following questions. SHOW YOUR WORK!

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Identify the statement as True or False. (a) The sum of two convergent series is convergent. (b) is convergent for p > 1 np n=0 (c) If series an is divergent then lim an # 0. n=0 N (d) SN = >bn, then SN - SN-1 = bN n=0 00 (e) If On converges then Clanl converges. n=0 n=0Test the series for convergence or divergence, identify which test you are using and show the conditions leading to your conclusion. (a) In(n) (b) (-1)2 1. In(n) 723 73 (c) _larctan(n)]" n=1 n=1 n=1