How would you find a polynomial that will approximate throughout the given interval with an error of magnitude less than 10^-3?
F(x)= (integral 0 to x)t^2e^-t^2 dt [0,1]
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I got : series n=0 to infinity [t^2n+3/n!(2n+3)] [0 to x]
I'm not sure how to figure out what x is though so that I can approximate the error. Anyone know how to do this?
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