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Define the double factorial of n, denoted n!!, as follows: n!! §1. = 2. • 3.5 .4.6 ... and (-1)!! = 0!! = 1. - •(n − 2) · n (n-2) · n • if n is odd if n is even Find the radius of convergence for the given power series. . ∞ 2.n! (2n+5)! · (2n)!! -(8x — 5) n n=1 6n. [(n+4)!]2 (4n+2)!! The radius of convergence, R =

Define the double factorial of n, denoted n!!, as follows: n!! §1. = 2. • 3.5 .4.6 ... and (-1)!! = 0!! = 1. - •(n − 2) · n (n-2) · n • if n is odd if n is even Find the radius of convergence for the given power series. . ∞ 2.n! (2n+5)! · (2n)!! -(8x — 5) n n=1 6n. [(n+4)!]2 (4n+2)!! The radius of convergence, R =

Algebra & Trigonometry with Analytic Geometry
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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Define the double factorial of n, denoted n!!, as follows: • 3.5 - n!! = §1. 2. .4.6 ... •(n − 2) · n ·(n-2) · n • if n is odd if n is even and (-1)!! = 0!! = 1. Find the radius of convergence for the given power series. ∞ n=1 . 2.n! (2n+5)! · (2n)!! -(8x — 5)" 6n. [(n+4)!]². (4n+2)!! The radius of convergence, R =
Transcribed Image Text:Define the double factorial of n, denoted n!!, as follows: • 3.5 - n!! = §1. 2. .4.6 ... •(n − 2) · n ·(n-2) · n • if n is odd if n is even and (-1)!! = 0!! = 1. Find the radius of convergence for the given power series. ∞ n=1 . 2.n! (2n+5)! · (2n)!! -(8x — 5)" 6n. [(n+4)!]². (4n+2)!! The radius of convergence, R =
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