Use the formula In(1 + x) = 5(-1)^-Iyn = X - 3 4 n = 1 for |x| < 1 and x = 1, to find an N such that the partial sum SN approximates In(1.4) to within an error of at most 0.0001. Confirm this using a calculator to compute both Sn and In(1.4). (Round your answers to six decimal places.) N = SN = In(1.4) = In(1.4) – Sw| Error =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
Problem 20EQ
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Use the formula
00
In(1 + x) = S (-1)^-1xn
x3
+
+
4
= X -
2
n = 1
for |x| < 1 and x = 1, to find an N such that the partial sum SN approximates In(1.4) to within an error of at most
0.0001. Confirm this using a calculator to compute both SN and In(1.4). (Round your answers to six decimal places.)
N =
SN
In(1.4)
=
|In(1.4) – Sw|
- SN.
Error =
Transcribed Image Text:Use the formula 00 In(1 + x) = S (-1)^-1xn x3 + + 4 = X - 2 n = 1 for |x| < 1 and x = 1, to find an N such that the partial sum SN approximates In(1.4) to within an error of at most 0.0001. Confirm this using a calculator to compute both SN and In(1.4). (Round your answers to six decimal places.) N = SN In(1.4) = |In(1.4) – Sw| - SN. Error =
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