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Determine the convergence of each series. Justify your answer with an explanation and a convergence test. (a) (2 points) [(-1)" cos( 2- ), 7=0 (b) (2 points) n+1 n= In'n- 1' (c) (2 points) (2n)! iM (n!) 1' (d) (4 points) n=1 3n (Hint: Use this very famous limit lim 1 1 + = ex 2.71) n-+00 n