Problem (3). Consider the series (-1)" 2"n! (a) Show the series is convergent and determine the type of convergence. Be sure to provide a careful argument to prove the type of convergence and name any series tests you apply. (b) What is the smallest integer N so that Sy approximates the sum of the series accurate to four decimal places? What is this approximation? (c) Is the approximation given in part (b) an overestimate or an underestimate? Explain.
Problem (3). Consider the series (-1)" 2"n! (a) Show the series is convergent and determine the type of convergence. Be sure to provide a careful argument to prove the type of convergence and name any series tests you apply. (b) What is the smallest integer N so that Sy approximates the sum of the series accurate to four decimal places? What is this approximation? (c) Is the approximation given in part (b) an overestimate or an underestimate? Explain.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 3 please
Transcribed Image Text:Problem (3). Consider the series
(-1)"
2"n!
(a) Show the series is convergent and determine the type of convergence. Be sure to provide a careful
argument to prove the type of convergence and name any series tests you apply.
(b) What is the smallest integer N so that Sy approximates the sum of the series accurate to four decimal
places? What is this approximation?
(c) Is the approximation given in part (b) an overestimate or an underestimate? Explain.
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