Find the interval of convergence for each power series. Include endpoint convergence tests when necessary, making sure to show the details of all convergence tests and using interval notation when 2. Ex-13x²+1.3.5x3-1·3·5·7x+++(-1) ¹·3·5·7 (2n-1)+... n=1 3! 5! 7!

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Find the interval of convergence for each power
series. Include endpoint convergence tests when
necessary, making sure to show the details of all
convergence tests and using interval notation when
2.
∞
1.3
1.3.5
1.3.5.7
Σ x-
1.3.5.7
7!
-x4+..... +(-1)".
(2n-1)
(2n-1)!
·xn+....
3!
5!
n = 1
-x² +
-x³-
Transcribed Image Text:Find the interval of convergence for each power series. Include endpoint convergence tests when necessary, making sure to show the details of all convergence tests and using interval notation when 2. ∞ 1.3 1.3.5 1.3.5.7 Σ x- 1.3.5.7 7! -x4+..... +(-1)". (2n-1) (2n-1)! ·xn+.... 3! 5! n = 1 -x² + -x³-
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