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In Exercises 37 40, approximate the sum of the series by using the first six terms. (See
Chapter 9, Problem 37(choose chapter or problem)
In Exercises 37-40, approximate the sum of the series by using the first six terms. (See Example 4.)
\(\sum_{n=0}^{\infty}\frac{(-1)^n\ 2}{n!}\)
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QUESTION:
In Exercises 37-40, approximate the sum of the series by using the first six terms. (See Example 4.)
\(\sum_{n=0}^{\infty}\frac{(-1)^n\ 2}{n!}\)
ANSWER:Step 1 of 3
The expression is given as,
\(\sum\limits_{n = 0}^\infty {\frac{{{{\left( { - 1} \right)}^2}2}}{{n!}}}\)
Expand the given series to get,
\(\frac{2}{{0!}} - \frac{2}{{1!}} + \frac{2}{{2!}} - \frac{2}{{3!}} + \frac{2}{{4!}} - \frac{2}{{5!}} + .... \)
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