Sunday, 8 December 2013

calculus - Determining the sum of a series as a function of the variable x

I have the following series:
n=0(1)nx9nn!
I want to find the sum of the series of as a function of x.



It seems to resemble the Taylor series where of ex which is n=0xnn!.




I have also considered it as a telescoping series (which is not) and a geometric series ( which also does not seem to be the case).



How should I approach this problem ?



questionathand

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