Use the comparison test to determine if the following series converges or diverges. sin ²n n³/2 ∞ Σ n=1 Choose the correct answer below. 2 A. The comparison test with sin²n shows that the series diverges. B. The comparison test with ∞ O c. The comparison test with n=1 8 n=1 ∞ 1 3/2 n n n=1 n=1 1 3/2 shows that the series converges. shows that the series diverges. D. The comparison test with sin²n shows that the series converges.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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Use the comparison test to determine if the following series converges or diverges.
sin ²n
n³/2
M8
n=1
Choose the correct answer below.
O A. The comparison test with Σ sin²n shows that the series diverges.
n=1
B. The comparison test with
C. The comparison test with
∞
n=1
∞
1
n³12
n=1
∞
1
3/2
n=1
n
shows that the series converges.
shows that the series diverges.
2
D. The comparison test with sin ²n shows that the series converges.
Transcribed Image Text:Use the comparison test to determine if the following series converges or diverges. sin ²n n³/2 M8 n=1 Choose the correct answer below. O A. The comparison test with Σ sin²n shows that the series diverges. n=1 B. The comparison test with C. The comparison test with ∞ n=1 ∞ 1 n³12 n=1 ∞ 1 3/2 n=1 n shows that the series converges. shows that the series diverges. 2 D. The comparison test with sin ²n shows that the series converges.
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