Question

(1)Determine if the sequence converges or diverges.Then find the limit if the sequence diverges an=-cos*n/2n (2)Use the ratio test to determine if the following series converges or diverges 3^n+n/n! from n=1 to infinity (3) Does the series converge or diverge n!/(n+8)(n+6) (4) Use the root test to determine whether the series converges (2/lnk)^k

(5)Use the limit comparison Test to determine convergence or divergence 3n^2+n-1/n^4 +5n^2 -8 from n=1 to infinity