Let f(x) = x In(1+x*). For all æ € [-1, 1], it is known that %3D +o0 In(1+x) = £ (-1)" -xn+1 n+1 n=0 Use the 7th degree Maclaurin polynomial for f to approximate the value of 0.1 ln(1.001).

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 51PS
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Let f(x) = x ln(1+x³). For all x € [-1, 1], it is known that
(-1)"
In(1+x) =
-2까+1.
n+1
n=0
3. Use the 7th degree Maclaurin polynomial for f to approximate the value of 0.1 ln(1.001).
Transcribed Image Text:Let f(x) = x ln(1+x³). For all x € [-1, 1], it is known that (-1)" In(1+x) = -2까+1. n+1 n=0 3. Use the 7th degree Maclaurin polynomial for f to approximate the value of 0.1 ln(1.001).
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