Question: (Section11.2,11.4) Find a power series representation centered ata=0 for the following functionsusing known power series and give the radius of convergence. Leave your series in

(Section11.2,11.4) Find a power series representation centered ata=0 for the following functionsusing known power series and give the radius of convergence. Leave your series in summation (or Sigma)notation.(a)f(x)=x1+2xf(x)(b)f(x)=x3cos(x2)f(x)=,R=(Section11.4)(a) Identify the function represented by the power series: k=0(-x)kk!.f(x)=(b) Find the sum of the convergent series: k=0(-1)kk!.

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