Consider the series ne-n n=0 (a) Explain why the integral test can be used to determine the convergence of this series. (b) Show that the series is convergent. In k Given the series (-1)* k=1 k2 (a) Use the Alternating Series Test to show that the series is convergent. (b) Find an upper bound (3 significant figures) on the error in using the 4th partial sum 0 for the actual sum(-1). k=1 In k k2 In k as an estimate k2 k=1