Use the equation 2 1- x4 = x E 1 1-x Σ n=0 = 00 (Express numbers in exact form. Use symbolic notation and fractions where needed.) x" for x < 1 to expand the function n=0 2 1- x4 in a power series with center c = 0. Determine the interval of convergence. (Give your answer as an interval in the form (*,*). Use the symbol ∞o 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.)
Use the equation 2 1- x4 = x E 1 1-x Σ n=0 = 00 (Express numbers in exact form. Use symbolic notation and fractions where needed.) x" for x < 1 to expand the function n=0 2 1- x4 in a power series with center c = 0. Determine the interval of convergence. (Give your answer as an interval in the form (*,*). Use the symbol ∞o 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 49E
Related questions
Question
![Σ
x" for x < 1 to expand the function
n=0
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
Use the equation
2
1 x4
||
x E
=
M8
n=0
1
1 X
=
2
1 x4
in a power series with center c = 0.
Determine the interval of convergence.
(Give your answer as an interval in the form (*,*). Use the symbol ∞ 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%2F646bd109-e2a6-4c6a-a3ea-1fdf7467c156%2F49e72dcd-0a5f-41ba-8f7c-f57fdefbbbd5%2Fbg2czak_processed.png&w=3840&q=75)
Transcribed Image Text:Σ
x" for x < 1 to expand the function
n=0
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
Use the equation
2
1 x4
||
x E
=
M8
n=0
1
1 X
=
2
1 x4
in a power series with center c = 0.
Determine the interval of convergence.
(Give your answer as an interval in the form (*,*). Use the symbol ∞ 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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