(-1)"n For positive integer n, let an = 3" (a) Determine whether the sequence {an} is convergent.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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a)

(-1)"n
For positive integer n, let a, =
3n
(a)
Determine whether the sequence {a„} is convergent.
00
(b)
If f(x) = £ anx", specify the domain of f.
%3D
n=1
Based on your answer in Question 2(b), explain whether the series f(4) con-
verges or diverges.
(c)
Transcribed Image Text:(-1)"n For positive integer n, let a, = 3n (a) Determine whether the sequence {a„} is convergent. 00 (b) If f(x) = £ anx", specify the domain of f. %3D n=1 Based on your answer in Question 2(b), explain whether the series f(4) con- verges or diverges. (c)
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