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1. (6 points) M: a. True or False: If lim an = 0 then an converges. n - oo n=1 b. True or False: If lim anti = co then an diverges. n-co an n=1 c. Which of the following series are centered at x = -2? Circle all that apply. ( x + 2)n (x - 2 )n (x - 2) n ( x + 2)n M M M 5n 5n ( - 2 ) n 5n! n! n= 0 n=0 n = 0 n=0 n= 0 2. (15 points) Determine whether the following series converge or diverge. You must fully justify your answer by including the name of the test you use and show that the conditions for using the test are met. OO a. M sin 2n+ 1 n= 1