(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 16, lim_{n → ∞} |a_{n+1}/a_n| = lim_{n → ∞} [(n+1)+6]/[(n+1)!]
(b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞ as -infinity. If the limit does not exist, enter DNE. lim_{n → ∞} |a_{n+1}/a_n| = 0
(c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Converges