Given the power series expansion In(1 + x) = (-1)”- Σ(-1) -1 n=1 хп n use Taylor's Theorem with Remainder to determine how many terms N of the sum evaluated at x 1 = are 2 1 1000 needed to approximate In (2) accurate to within = N 10 من

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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Given the power series expansion
In(1 + x) = (-1)”-
Σ(-1) -1
n=1
хп
n
use Taylor's Theorem with Remainder to determine how
many terms N of the sum evaluated at x
1
=
are
2
1
1000
needed to approximate In (2) accurate to within
=
N 10
من
Transcribed Image Text:Given the power series expansion In(1 + x) = (-1)”- Σ(-1) -1 n=1 хп n use Taylor's Theorem with Remainder to determine how many terms N of the sum evaluated at x 1 = are 2 1 1000 needed to approximate In (2) accurate to within = N 10 من
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