4. Consider the following function: So, sin rx, 0 16k2 k=1 1 - -

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.7: Functions Defined By Equations
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4. Consider the following function:
0,
f(x) =
-1 <x < 0
sin rx, 0<x<1
(ii) Use the obtained series to find the sum of the following infinite series:
1
(-1)"
1
Σ
Σ
and
4k2 – 1'
k=1
4k2 – 1
k=1
16k2 – 1
k=1
-
IM:
Transcribed Image Text:4. Consider the following function: 0, f(x) = -1 <x < 0 sin rx, 0<x<1 (ii) Use the obtained series to find the sum of the following infinite series: 1 (-1)" 1 Σ Σ and 4k2 – 1' k=1 4k2 – 1 k=1 16k2 – 1 k=1 - IM:
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