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Solved: Taylor series Write out the first three terms of
Chapter 1, Problem 28RE(choose chapter or problem)
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.
\(f(x)=\frac{1}{x},\ a=1\)
Questions & Answers
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