Math Archive: Questions from 2023-12-18

Use the root test to determine if the following series converges or diverges. ∑∞ n=1 13/(8 + (1/n))^2n Since the limit resulting from the root test is , the root test is inconclusive. (Simplify your answer. Type an exact answer.) shows the series converges. is inconclusive. shows the series diverges.

Use the Root Test to determine whether the series convergent or divergent. ∑∞ n=1 (n^2 + 9 / 9n^2 + 8)^n Identify an. Evaluate the following limit. Lim n→∞ n |an| Since lim n→∞ n |an| ?∨ 1, . . . Select-