Question: A function f(x) is given by the following power series:f(x)=n=0xn(2n)!for every value of x at which the series converges.A second function F(x) satisfies the following
A function f(x) is given by the following power series:f(x)=n=0xn(2n)!for every value of x at which the series converges.A second function F(x) satisfies the following two properties: F'(x)=f(x), and F(0)=8.(a) Write out the first 3 nonzero terms of the power series representation of F(x), in order of increasing degree.F(x)= cdots(b) What is the radius of convergence of F(x)?
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