6. What does the n-th term test tell us about each of the following series? n n En=2 In(n) En=1 tan(n) Ln=1 yn +1 n3 + n+1 In(n) Zn=1 En=1 n+ yn m=1 N 7. Use the Integral Test to determine whether the following converge or diverge. 1 En=1 Zn=1 en 2n=1 ne-2n? n(In n)2 Answer all of them, please.
6. What does the n-th term test tell us about each of the following series? n n En=2 In(n) En=1 tan(n) Ln=1 yn +1 n3 + n+1 In(n) Zn=1 En=1 n+ yn m=1 N 7. Use the Integral Test to determine whether the following converge or diverge. 1 En=1 Zn=1 en 2n=1 ne-2n? n(In n)2 Answer all of them, please.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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All of them, please.

Transcribed Image Text:6. What does the n-th term test tell us about each of the following series?
n
n
En=2 In(n)
En=1 tan(n)
Zn=1
Ln=1
yn + 1
n3 + n + 1
In(n)
Zn=1
n
En=1n n
Zn=1
n + yn
7. Use the Integral Test to determine whether the following converge or diverge.
1
Zn=1
en
Ln=1 ne-2n²
n(ln n)2
Answer all of them, please.
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