Saturday, 12 August 2017

ordinary differential equations - function representation of power series

What is the function representation of this power series?



[Summation from n=0 to infinity of (xn)(n+1)!/n!



The solution is 1(1x)2 but how???



I know that n=0(xn)/n!=ex, but I don't know how to get to the solution from there.

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