10 Use the integral test to determine whether the following series converge or diverge a n 5 n 1 b n 1 2n 1 n4 Hint Rewrite the integrand as 8 c n 2 Finally recall that lim arctan x x48 1 n ln n 2x 1 x T Hint Rewrite the function as In x Next use the fact that and arctan 1 J du 1 u arctan u and use u substitution to find the anti derivative The