3 converges or diverges. If it converges, find its sum. 2m Determine whether the series m = 2

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.1: Sequences And Series
Problem 9ECP: For the series i=1510i find (a) the fourth partial sum and (b) the sum. Notice in Example 9(b) that...
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10.2.19 Please help me answer this calculus multiple choice question.

3
Determine whether the series>
converges or diverges. If it converges, find its sum.
2m
m = 2
Select the correct choice below and, if necessary, fill in the answer box within your choice.
The series converges because lim
A.
3
= 0. The sum of the series is
2m
n→00
(Simplify your answer.)
B. The series diverges because lim
3
#0 or fails to exist.
2m
n→00
The series converges because it is a geometric series with r| <1. The sum of the series is
C.
(Simplify your answer.)
O D. The series diverges because it is a geometric series with Ir|2 1.
Transcribed Image Text:3 Determine whether the series> converges or diverges. If it converges, find its sum. 2m m = 2 Select the correct choice below and, if necessary, fill in the answer box within your choice. The series converges because lim A. 3 = 0. The sum of the series is 2m n→00 (Simplify your answer.) B. The series diverges because lim 3 #0 or fails to exist. 2m n→00 The series converges because it is a geometric series with r| <1. The sum of the series is C. (Simplify your answer.) O D. The series diverges because it is a geometric series with Ir|2 1.
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