8. p-series below: (a) n=1 Use this fact to find the sum of each series below. (You may express your answers as the sum of more than one fully reduced improper fraction rather than just one fraction.) 00 n=4 Each series below is convergent. In fact, Euler calculated the exact sum of the 1 (n-1)² 1 2-4 = n² 6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Please solve the following calc 2 question 

 

8.
p-series below:
(a)
1
π²
2+-+
n²
6
n=1
Use this fact to find the sum of each series below. (You may express your answers as the sum of
more than one fully reduced improper fraction rather than just one fraction.)
(b)
00
n=4
M8
n=1
1
(n − 1)²
Each series below is convergent. In fact, Euler calculated the exact sum of the
1
(2πη)2
M8
Transcribed Image Text:8. p-series below: (a) 1 π² 2+-+ n² 6 n=1 Use this fact to find the sum of each series below. (You may express your answers as the sum of more than one fully reduced improper fraction rather than just one fraction.) (b) 00 n=4 M8 n=1 1 (n − 1)² Each series below is convergent. In fact, Euler calculated the exact sum of the 1 (2πη)2 M8
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