calculus

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let f be the function f(x) = e^(2x^2)
find the first four nonzero terms and the general term of the power series for f(x) about x = 0

i tried doing this problem but finding the derivatives gets way too complicated
can anyone help??

  • calculus -

    HuH?

    THe power series is

    eu= Σxu/n! from n=1 to inf

    So put in u (2x^2) and compute for n=1, ...4.

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