Mclauren series for Guassian Integral

soothsayer · Jan 18, 2011

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

$latex2png.2.php?z=100&eq=\int_{0}^{x}%20e^{-t^2}dt.jpg$

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 · Jan 18, 2011

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.

Mclauren series for Guassian Integral

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Mclauren series for Guassian Integral

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