An infinite series Ex_n converges if the sequence (S_n) of partial sums given by S_n=x_1+x_2+...+x_n converges. The following sequence converges to which sum? Σ n=1 0 1 2 1 n(n + 1) None of the above - "It is divergent because it can be written as Σ(1/n)Σ(1/(n+1)) which is a product of two divergent series."

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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An infinite series [x_n converges if the
sequence (S_n) of partial sums given by
S_n=x_1+x_2+...+x_n converges. The
following sequence converges to which sum?
Σ
n=1
0
1
2
1
n(n + 1)
None of the above - "It is divergent because it
can be written as Σ(1/n){(1/(n+1)) which is a
product of two divergent series."
Transcribed Image Text:An infinite series [x_n converges if the sequence (S_n) of partial sums given by S_n=x_1+x_2+...+x_n converges. The following sequence converges to which sum? Σ n=1 0 1 2 1 n(n + 1) None of the above - "It is divergent because it can be written as Σ(1/n){(1/(n+1)) which is a product of two divergent series."
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