Math Help Power Series
July 14th, 2010
A power series is a series of the form:
where a and c i (i = positive integers such as 1, 2, 3, etc) are constant.
Power series can be written as:
or 
or 
Convergence of power series
A power series is said to converge:
-
at x 1 if and only if
converges. -
on the set S if and only ifconverges for each x in S.
If converges at 
then it converges absolutely whenever
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