Mclauren series for Guassian Integral

[soothsayer]

I'm supposed to be finding the McLauren series for the following function:

I don't even know where to start... f'(0) is easy to calculate, but what about f(0) and any subsequent derivatives evaluated at 0?

 

[soothsayer]

Nevermind! I think I got this, I simply found the series for e^-x^2 and integrated the first few terms term-by-term and found f(x). f(0) was clearly zero. Then I simply did the same thing with the derivative.