1 Consider the series (-1)-¹ Σ(−1²+ (x+1)* where b is a given non-zero constant. Find the nb2n 1=0 interval of convergence for the series. Express your answer in terms of the constant b. Make sure you show the steps for obtaining your answer. Don't forget to check the end points of the interval.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
icon
Related questions
Question
Consider the series
(-1)-¹(x+1)"
where b is a given non-zero constant. Find the
nb2n
J=0
interval of convergence for the series. Express your answer in terms of the constant b. Make sure you
show the steps for obtaining your answer. Don't forget to check the end points of the interval.
Transcribed Image Text:Consider the series (-1)-¹(x+1)" where b is a given non-zero constant. Find the nb2n J=0 interval of convergence for the series. Express your answer in terms of the constant b. Make sure you show the steps for obtaining your answer. Don't forget to check the end points of the interval.
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer