For each of the following series, use the sequence of partial sums to determine whether the series converges or diverges. Σ n = 1 n n+2

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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Can you please solve the problem on the picture, I'm having trouble understanding the second term on how 2/4 to 1/3 can you please give an explanation why they did that?

Therefore the partial sum can be written as;
1
S₁ = 1/2
The second term is;
S₂ =
V
S₂
1
3
||
1|31|32|3
+
2
3 4
+-
3 3
The third term is;
1 2 3
+
== +
3 4 5
> 3. (1)
3
= 1
Transcribed Image Text:Therefore the partial sum can be written as; 1 S₁ = 1/2 The second term is; S₂ = V S₂ 1 3 || 1|31|32|3 + 2 3 4 +- 3 3 The third term is; 1 2 3 + == + 3 4 5 > 3. (1) 3 = 1
For each of the following series, use the sequence of partial sums to determine whether the series
converges or diverges.
n = 1
n
n+2
Transcribed Image Text:For each of the following series, use the sequence of partial sums to determine whether the series converges or diverges. n = 1 n n+2
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