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 ?
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