Determine if the series converges or diverges. Use any method, and give a reason for your answer. n-5 Σ M8 n=5 n7" Does the series converge or diverge? Select the correct choice below and, if necessary, fill in the answer box within your choice. 00 Ο A. Because Σ · Σ n-5 n=5 n7" OC. Because ∞ n-5 Ο B. Because Σ -> [ n=5 n7" OD. Since lim OF. Since n=5 n7" ∞ E. Because Σ 8 n→∞ n7" 5 n-5 n-5 n-5 n7" n=5 n7" = = M88 M8 n-5 2 S n=5 n=5 M8 1 -|C Σ n=5 n 1 n and ∞ and converges, the series converges by the Direct Comparison Test. 1 n=57" Σ · and Σ n=5 n=5 ∞ |- 1 n n=5 1 n the given series diverges by the nth-Term Test for Divergence. diverges, the series diverges by the Direct Comparison Test. 1 converges, the series converges by the Direct Comparison Test. ∞ 1 1 · and Σ diverges, the series diverges by the Direct Comparison Test. 77 n=5 the given series diverges by the Integral Test.