Question: Consider the function ,f(x)=x7(14x)2.(a) Find the power series representation centered at x=0. Complete the given equation by entering an expression involving n and x. Express

Consider the function ,f(x)=x7(14x)2.(a) Find the power series representation centered at x=0. Complete the given equation by entering an expression involving n and x. Express your answer in such a way that the index n=0 gives the first non-zero term of the power series.Answer: f(x)=n=0(b) Enter the first 5 nonzero terms of the power series.(These are expressions involving x, compatible with the indices n=0,1,2,3,4 in part (a).)Answer: f(x)=. E 4(c) Find the radius of convergence for the power series about x=0.Answer:

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