Solved: Summation notation Write the following power

Chapter 8, Problem 47E

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QUESTION:

Summation notation Write the following power series in summation (sigma) notation.

\(1-\frac{x}{2}+\frac{x^{2}}{3}-\frac{x^{3}}{4}+\cdots\)

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QUESTION:

Summation notation Write the following power series in summation (sigma) notation.

\(1-\frac{x}{2}+\frac{x^{2}}{3}-\frac{x^{3}}{4}+\cdots\)

ANSWER:

Solution 47E
Step 1:

We write the general term of the series as follows,

Taking part into consideration, we see
For
, term =

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