1 Use the equation = 6. in a power series with center c = 0. x4 2x" for |x| < 1 to expand the function 1- x 1. n=0 (Express numbers in exact form. Use symbolic notation and fractions where needed.) 00 6. Σ %3D 1- x4 Determine the interval of convergence. (Give your answer as an interval in the form (*,*). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)
1 Use the equation = 6. in a power series with center c = 0. x4 2x" for |x| < 1 to expand the function 1- x 1. n=0 (Express numbers in exact form. Use symbolic notation and fractions where needed.) 00 6. Σ %3D 1- x4 Determine the interval of convergence. (Give your answer as an interval in the form (*,*). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Question
![1
Use the equation =
6.
in a power series with center c = 0.
x4
2x" for |x| < 1 to expand the function
1- x
1.
n=0
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
00
6.
Σ
%3D
1- x4
Determine the interval of convergence.
(Give your answer as an interval in the form (*,*). Use the symbol co for infinity, U for combining intervals, and an appropriate
type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express
numbers in exact form. Use symbolic notation and fractions where needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93287a8c-5e4d-4677-8228-a42a98d09c7f%2Ffed58bfd-4503-493b-8607-35ce0a3b237d%2Fekofqnhi_processed.png&w=3840&q=75)
Transcribed Image Text:1
Use the equation =
6.
in a power series with center c = 0.
x4
2x" for |x| < 1 to expand the function
1- x
1.
n=0
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
00
6.
Σ
%3D
1- x4
Determine the interval of convergence.
(Give your answer as an interval in the form (*,*). Use the symbol co for infinity, U for combining intervals, and an appropriate
type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express
numbers in exact form. Use symbolic notation and fractions where needed.)
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