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can you explain and do some examples of a power series?

 Dec 1, 2015
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The power seris (in one variable) is an infinite series of the form. where an represents the coefficient of the nth term, c is a constant, and x varies around c (for this reason one sometimes speaks of the series as being centered at c).

 

A seris  \(f(x) = \sum_{n=0}^\infty a_n \left( x-c \right)^n = a_0 + a_1 (x-c)^1\) Note that i only put the first variable here, but like i said it tends to infinity THE ANSWEAR IS not  \( a_0 + a_1 (x-c)^1\)

 Dec 1, 2015

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