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Solved: Taylor series Write out the first three terms of

Chapter 1, Problem 28RE

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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.

\(f(x)=\frac{1}{x},\ a=1\)

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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.

\(f(x)=\frac{1}{x},\ a=1\)

ANSWER:

Solution 28RE

Step 1:

The general notation of a taylor series is given by

Here    and

Therefore the taylor series expansion is given by

The expansion is

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