2. Write the following series in expanded form. Find the sum using partial fractions. Start by decomposing A and B, and then employ telescopic cancellations. Σ n=1 n(n+2) 1 n(n + 2) into the form + for suitable constants B n+2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Write the following series in expanded form.
Find the sum using partial fractions. Start by decomposing
A and B, and then employ telescopic cancellations.
Σ
n=1
n(n+2)
1
n(n +2)
into the form
+ for suitable constants
B
n+2
Transcribed Image Text:2. Write the following series in expanded form. Find the sum using partial fractions. Start by decomposing A and B, and then employ telescopic cancellations. Σ n=1 n(n+2) 1 n(n +2) into the form + for suitable constants B n+2
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