Use the ratio test to determine whether the series converges or diverges.
(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 14,
lim |a_{n+1} / a_n| as n → ∑
(b) Evaluate the limit in the previous part. Enter ∑ as infinity and -∑ as -infinity. If the limit does not exist, enter DNE.
lim |a_{n+1} / a_n| =
(c) By the ratio test, does the series converge, diverge, or is the test inconclusive?