Does the following series converge or diverge? 1 00 E 8n1 n=1 {I} The series diverges by the Limit Comparison Test {2} The series converges by the Integral Test. {2} The series converges by the Divergence Test. '3._.-' The series diverges by the Alternating Series Test Does the following series converge or diverge? {)0 . E SII'IHBDSH H n=1 2 "he series converges by the Alternating Series Test. "he series diverges by the Comparison Test. "he series converges conditionally by the Integral Test. "he series diverges by the p-series test The series diverges by the Geometric Series Test. rinses? The series converges absolutely by Ratio Test For an alternating series _ (-1)" up, where lim up #0, what can be said about the convergence or divergence of the series? n = 1 n-+00 O A. The series always converges. O B. The series always diverges. O C. The series always converges conditionally. O D. The series sometimes converges conditionally. O E. The series converges sometimes.Does the following series converge or diverge? oo 9 E "13 n=1 If.) A. The series diverges by the Divergence Test. '2'.) E. The series converges by the Integral Test '2'.) C. The series diverges by the Alternating Series Test '1'. I1 D. The series converges conditionally {:1 E. The series converges absolutely. Determine whether the sequence converges or diverges. If it converges, find the limit. 6 + (-1) an= 6 O A. The sequence converges to 6 O B. The sequence converges to 1. O c. The sequence converges to 0. O D. The sequence diverges.Determine whether the sequence converges or diverges. If it converges, find the limit. 4 - 4n + 8n4 an = 3n 4 + 8n" - 2 O A. The sequence diverges. O B. The sequence converges to O c. The sequence converges to - 4. O D. The sequence converges to