(-1)"n For positive integer n, let a, = 3" (a) Determine whether the sequence {a„} is convergent. (b) If f(x) = £ a,x", specify the domain of f.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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Question 2
(-1)"n
For positive integer n, let a, =
3n
(a)
Determine whether the sequence {an} is convergent.
(b)
If f(x) = £ a„x", specify the domain of f.
n=1
(c)
Based on your answer in Question 2(b), explain whether the series f(4) con-
verges or diverges.
Transcribed Image Text:Question 2 (-1)"n For positive integer n, let a, = 3n (a) Determine whether the sequence {an} is convergent. (b) If f(x) = £ a„x", specify the domain of f. n=1 (c) Based on your answer in Question 2(b), explain whether the series f(4) con- verges or diverges.
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