Consider the series 1 E(-1)"+1, (2n - 1)! n=1 (a) Show that the series converges using two different tests.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Consider the series
1
E(-1)"+1,
(2n – 1)!
n=1
(a)
Show that the series converges using two different tests.
(b)
Let s, be the n-th partial sum of t he given series. U se MATLAB to plot s,
for n = 1...50. Use the symsum and limit commands to determine
1
E(-1)*+1.
(2n – 1)!"
n=1
Submit your code and graph.
(c)
Explain t he answer given by the MATLAB limit command.
Transcribed Image Text:2. Consider the series 1 E(-1)"+1, (2n – 1)! n=1 (a) Show that the series converges using two different tests. (b) Let s, be the n-th partial sum of t he given series. U se MATLAB to plot s, for n = 1...50. Use the symsum and limit commands to determine 1 E(-1)*+1. (2n – 1)!" n=1 Submit your code and graph. (c) Explain t he answer given by the MATLAB limit command.
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