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Power of the Power Series

     A power series allows one to make approximations of a function for x-values near the center, or c. The Taylor series is given by the summation of all the terms, defined by the nth derivative of the function evaluated at c, multiplied by (x - c)n over n factorial. If c=0, then this series is then known as a Maclaurin series.
     There are many techniques used to form power series. ... The third is to use the geometric series approach, by far the easiest method, which involves manipulating the series until it resembles a/(1-r), and thereby determines the first term of the series and the r that forms a series.


Approximate Word count = 398
Approximate Pages = 1.6
(250 words per page double spaced)
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