Use the binomial series to find the first 5 nonzero terms of the power series centered at a=0 for the following function and then give the open interval of convergence for the full power series. f(x) 2 +x/32 The open interval of convergence is: (-16,16) + -3x^2/4096 f(x) = √256+x + 7x^3/262144 + 77x^4/262144 +... (Give your answer in interval notation.) ****************

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