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6. (a) Show that the series) (-1)"-1 is convergent. (b) Find the partial sum s5 of the series (-1)m-1 Estimate the error in using sz as an n2 approximation to the sum of the series. (c) Find a value of n so that s,n is within 0.001 of the sum.

6. (a) Show that the series) (-1)"-1 is convergent. (b) Find the partial sum s5 of the series (-1)m-1 Estimate the error in using sz as an n2 approximation to the sum of the series. (c) Find a value of n so that s,n is within 0.001 of the sum.

Advanced Engineering Mathematics
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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(-1)"-1 6. (a) Show that the series is convergent. n2 n=1 (-1)"-1 (b) Find the partial sum s, of the series Estimate the error in using s; as an n2 n=1 approximation to the sum of the series. (c) Find a value of n so that s, is within 0.001 of the sum.
Transcribed Image Text:(-1)"-1 6. (a) Show that the series is convergent. n2 n=1 (-1)"-1 (b) Find the partial sum s, of the series Estimate the error in using s; as an n2 n=1 approximation to the sum of the series. (c) Find a value of n so that s, is within 0.001 of the sum.
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