Question

Alright, how do you do this?
By recognizing the series below as a Taylor series evaluated at a particular value of x, find the exact sum of the convergent series.
1+(4/1!)+(16/2!)+(64/3!)+(256/4!)+...+(4^n/n!)+...

Answer 1

Hint : \(e^x\)

Answer 2

gives it away =.= cheater

Answer 3

deriving the taylor series of \(e^x\) inappropriate for this problem ;)