easiest way to find the sum of SUMMATION from 0 to infinity... 1 / (2^n * n!)

[c_harrris]

What would be the easiest way to try to find the sum of the following series:

SUMMATION from 0 to infinity... 1 / (2^n * n!)

 

[stapel]

What would be the easiest way to try to find the sum of the following series:

SUMMATION from 0 to infinity... 1 / (2^n * n!)

The "easiest way" will probably vary with the information available. Have you studied the Gamma Function yet? Or are you maybe in calculus, and the exercise actually asks you to determine if the series converges?

When you reply, please include a clear listing of your thoughts and efforts so far. Thank you!