1 Consider the series an where an || п(п + 3) n=1 k (a) Find a formula for the kh partial sum, sk = > an. (Hint: partial fractions!) n=1 (b) Hence show that the series converges, and find its limit.

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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1
Consider the series > an where an
n(n +3)
n=1
k
(a) Find a formula for the kth partial sum, sk =) an. (Hint: partial fractions!)
Σ
n=1
(b) Hence show that the series converges, and find its limit.
Transcribed Image Text:1 Consider the series > an where an n(n +3) n=1 k (a) Find a formula for the kth partial sum, sk =) an. (Hint: partial fractions!) Σ n=1 (b) Hence show that the series converges, and find its limit.
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