4. Let f be the function by f(x)e^(-2x^2)
a. Find the fist four nonzero terms and the general term of the power series for f(x) about x = 0.
b. Find the interval of convergence of the power series for f(x) about x =0. Show the analysis that leads to our conclusion.
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Terms of power series are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.