Let the (absolutely convergent, telescoping) series be 1 n(n+1) S= Find S. Approximate the sum S with the partial sum S3, estimate the magnitude of the error of this approximation. S |S= S3 = ? |Error| = |S-S3|= ? Use the telescoping nature of the series to find the error bound and to demonstrate the absolute error is within the error bound.

Let the (absolutely convergent, telescoping) series be 1 n(n+1) S= Find S. Approximate the sum S with the partial sum S3, estimate the magnitude of the error of this approximation. S |S= S3 = ? |Error| = |S-S3|= ? Use the telescoping nature of the series to find the error bound and to demonstrate the absolute error is within the error bound.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 26RE

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