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2. Find the smallest value of n. such that the partial sum 3,, : 2:104: is within [1.0001 from the series 3 = 2:1 ak. Also, nd the value of an. (2 paints each) m 1 A+1 (a) 5; 131) n2.\" 3. For each of the following series, use either the ratio test or the root test to decide whether the series converges or diverges. Show your work. (2 points each) 735n (a) n! n=1 (b) (n!)3 n=1 (3n)! (c) n(-6)"+1 iM (n2 + 1)52n+1 (d) n2 + 1 n 3n2 + n+ 1 n=1