In n 32. n=1 nº ( is defined bu

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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#32 Find p for which the series is convergent
24. ke
23. ke k
k=1
k-1
00
1
26. E
25. E
n + 1
n2 + n
n=1
n-1
27-28 Explain why the Integral Test can't be used to determine
whether the series is convergent.
cos'n
00
cos TN
27. E
28. E
1 + n?
n=1
n=1
29-32 Find the values of p for which the series is convergent.
00
1
29. E
n=2 n(ln n)P
1
30. E
n=3 n In n [In(ln n)]P
31. Σn(1 + n')".
In n
32. E
n=1
n=1 nP
33. The Riemann zeta-function 5 is defined by
5(x) = =
n=1 n*
and is used in number theory to study the distribution of
prime numbers. What is the domain of ?
Transcribed Image Text:24. ke 23. ke k k=1 k-1 00 1 26. E 25. E n + 1 n2 + n n=1 n-1 27-28 Explain why the Integral Test can't be used to determine whether the series is convergent. cos'n 00 cos TN 27. E 28. E 1 + n? n=1 n=1 29-32 Find the values of p for which the series is convergent. 00 1 29. E n=2 n(ln n)P 1 30. E n=3 n In n [In(ln n)]P 31. Σn(1 + n')". In n 32. E n=1 n=1 nP 33. The Riemann zeta-function 5 is defined by 5(x) = = n=1 n* and is used in number theory to study the distribution of prime numbers. What is the domain of ?
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Given n=1ln nnp

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29-32 Find the values of p
1
n(In n)"
29. Σ
n=2
31. Σ n(1 + n’)
n=|
Transcribed Image Text:29-32 Find the values of p 1 n(In n)" 29. Σ n=2 31. Σ n(1 + n’) n=|
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