Euler found the sum of the p-series with p = 4: 3(4) - Σ Σ n = 1 Use Euler's result to find the sum of the series. (a) Need (b) ΠΑ 90 8 Σ(3) n = 1 8 k = 6 4 1 (κ – 3)4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Euler found the sum of the p-series with p = 4:
ζ(4) = Σ
Σ
n = 1
Use Euler's result to find the sum of the series.
NOO
8
14
Ο
4
(2) Σ (3)
n = 1
(0) Σ
k = 6
1
(κ – 3)4
πT
90
Transcribed Image Text:Euler found the sum of the p-series with p = 4: ζ(4) = Σ Σ n = 1 Use Euler's result to find the sum of the series. NOO 8 14 Ο 4 (2) Σ (3) n = 1 (0) Σ k = 6 1 (κ – 3)4 πT 90
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