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p00tang
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#1
May 11 2013 09:47pm
I need this done quickly please. Would appreciate it.
Euler found the sum of the p-series with p = 4:
ζ(4)=
∞, n=1 of (1/n^4) = pi^4 / 90
Use Euler's result to find the sum of the series.
∞, k=7 OF 1 / (k-4)^4
feanur
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#2
May 12 2013 01:51am
Let S be Sum (k=7,infinity, 1 / (k-4)^4).
S = Sum (n=3,infinity, 1 / n^4)
(rename the variable k-4 to n)
S = Sum (k=1,infinity, 1 / n^4) - 1/1^4 - 1/2^4
(considering the 2 missing terms)
S = pi^4 / 90 - 1 - 1/16
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