Given the series, n=0 (-1)"82n+1 (2n+1)! where an = (-1)"82n+1 (2n+1)! . Use Ratio Test to test for convergence. an+1 a. The limit of the ratio test, lim simplifies to lim f(n) where 12-00 ап 004-2 f(n) = b. lim |f(n) = 004-2 (enter oo for infinity if needed) c. Based on the above, the series converges O diverges

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given the series,
n=0
(-1)"82n+1
(2n+1)!
where an =
(-1)"82n+1
(2n+1)!
. Use Ratio Test to test for convergence.
an+1
a. The limit of the ratio test, lim
simplifies to lim f(n) where
12-00
ап
004-2
f(n) =
b. lim |f(n) =
004-2
(enter oo for infinity if needed)
c. Based on the above, the series
converges
O diverges
Transcribed Image Text:Given the series, n=0 (-1)"82n+1 (2n+1)! where an = (-1)"82n+1 (2n+1)! . Use Ratio Test to test for convergence. an+1 a. The limit of the ratio test, lim simplifies to lim f(n) where 12-00 ап 004-2 f(n) = b. lim |f(n) = 004-2 (enter oo for infinity if needed) c. Based on the above, the series converges O diverges
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