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(18n + 1)t Determine whether the series sin- converges or diverges. If it converges, find its sum. n = 0 Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The series diverges because it is a geometric series with r| 2 1. k (18n + 1)t O B. The series converges because lim sin- k→00n = 0 fails to exist. (18n + 1)n O C. The series diverges because lim sin- #0 or fails to exist. 2 n 00 The series converges because it is a geometric series with r<1. The sum of the series is O D. (Type an exact answer, using radicals as needed.) (18n + 1)T The series converges because lim sin = 0. The sum of the series is E. 2 n-co (Type an exact answer, using radicals as needed.)

(18n + 1)t Determine whether the series sin- converges or diverges. If it converges, find its sum. n = 0 Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The series diverges because it is a geometric series with r| 2 1. k (18n + 1)t O B. The series converges because lim sin- k→00n = 0 fails to exist. (18n + 1)n O C. The series diverges because lim sin- #0 or fails to exist. 2 n 00 The series converges because it is a geometric series with r<1. The sum of the series is O D. (Type an exact answer, using radicals as needed.) (18n + 1)T The series converges because lim sin = 0. The sum of the series is E. 2 n-co (Type an exact answer, using radicals as needed.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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(18n + 1)t Determine whether the series, sin converges or diverges. If it converges, find its sum. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The series diverges because it is a geometric series with r2 1. k (18n+1)x O B. The series converges because lim sin k→00 n 0 fails to exist. 2. (18n + 1)T OC. The series diverges because lim sin #0 or fails to exist. O D. The series converges because it is a geometric series with r<1. The sum of the series is (Type an exact answer, using radicals as needed.) (18n + 1)a The series converges because lim sin OE. = 0. The sum of the series is (Type an exact answer, using radicals as needed.)
Transcribed Image Text:(18n + 1)t Determine whether the series, sin converges or diverges. If it converges, find its sum. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The series diverges because it is a geometric series with r2 1. k (18n+1)x O B. The series converges because lim sin k→00 n 0 fails to exist. 2. (18n + 1)T OC. The series diverges because lim sin #0 or fails to exist. O D. The series converges because it is a geometric series with r<1. The sum of the series is (Type an exact answer, using radicals as needed.) (18n + 1)a The series converges because lim sin OE. = 0. The sum of the series is (Type an exact answer, using radicals as needed.)
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