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Taylor series Write out the first three terms

Chapter 1, Problem 31RE

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QUESTION:

Write out the first three terms of the Taylor series for the following functions centered at the given point a. Then write the series using summation notation.

\(f(x)=\tan^{-1}x,\ \ a=0\)

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QUESTION:

Write out the first three terms of the Taylor series for the following functions centered at the given point a. Then write the series using summation notation.

\(f(x)=\tan^{-1}x,\ \ a=0\)

ANSWER:

Solution 31RE

Step 1:

Given that

f(x) = tan−1 x, a = 0

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