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WZ
Numerade Educator

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Problem 8 Medium Difficulty

Use the definition of a Taylor series to find the first four nonzero terms of the series for $ f(x) $ centered at the given value of $ a. $

$ f(x) = \ln x, $ $ a = 1 $

Answer

$f(x)=(x-1)-\frac{1}{2}(x-1)^{2}+\frac{1}{3}(x-1)^{3}-\frac{1}{4}(x-1)^{4}$

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Video Transcript

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