Question: to find a power series for the function, centered at 0, and determine the interval of converonce.40.f(x)=x(1x)(1-x)2Finding a Maclaurin Series In Exercises 53 and 54,
to find a power series for the function, centered at 0, and determine the interval of converonce.40.f(x)=x(1x)(1-x)2Finding a Maclaurin Series In Exercises 53 and 54, find a Maclaurin series for f(x).53.f(x)=07x(e-t2-1)dtFinu---ane Radius of Convergence In Exercises 39 and 40, find the radius of convergence of the power series, where c>0 and k is a positive integer.40.n=0(n!)kxn(kn)!
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