12. For the following telescoping series find a formula for the nth term of the sequence of partial sums {S}. Then evaluate lim S₁ to obtain the value of the series or show that it diverges. n2-00 For each sequence write out the first few terms and the last few terms. 6 a) En=1 (2n-1)(2n+1) (Partial Fraction Decomposition) b) Ex-1(--(+1)²) Σ=1(

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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12. For the following telescoping series find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate limn→∞Sn to obtain the value of the series or show that it diverges.
For each sequence write out the first few terms and the last few terms.

For Part B ONLY!

12. For the following telescoping series find a formula for the nth term of the sequence of partial sums {Sn}. Then
evaluate lim S₁ to obtain the value of the series or show that it diverges.
n→∞
For each sequence write out the first few terms and the last few terms.
6
a) Σ=1
(Partial Fraction Decomposition)
(2n-1)(2n+1)
b) Σ=1(# (412)
-
Transcribed Image Text:12. For the following telescoping series find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate lim S₁ to obtain the value of the series or show that it diverges. n→∞ For each sequence write out the first few terms and the last few terms. 6 a) Σ=1 (Partial Fraction Decomposition) (2n-1)(2n+1) b) Σ=1(# (412) -
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