Let bn = 8 2n + 7 Then, bn is positive, decreasing as n → ∞, and lim bn n→∞

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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Step 2
Let bn
=
8
2n + 7
▪
Then, bn is positive, decreasing as n → ∞, and lim bn
n→∞
=
Transcribed Image Text:Step 2 Let bn = 8 2n + 7 ▪ Then, bn is positive, decreasing as n → ∞, and lim bn n→∞ =
Test the series for convergence or divergence.
8 8
8
9
11
17
Step 1
The series
8
9
-
+
8
13
8
+
11
8
13
8
15
+
8
8
+
15 17
can be rewritten as
Σ(-1)²-1
n = 1
2n + 7
8
Transcribed Image Text:Test the series for convergence or divergence. 8 8 8 9 11 17 Step 1 The series 8 9 - + 8 13 8 + 11 8 13 8 15 + 8 8 + 15 17 can be rewritten as Σ(-1)²-1 n = 1 2n + 7 8
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