Mclauren series for Guassian Integral

  • Thread starter soothsayer
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  • #1
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Main Question or Discussion Point

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?
 

Answers and Replies

  • #2
422
3
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.
 
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