Let f(z) = 256+z

a. Use the binomial series to write f as a power series involving binomial

coefficients. (Note that the index variable of the summation is n, it starts at n = 0, and any coefficient of the summation should be included within the sum itself.) 256 + 2 = Σ n=0

where k =

b. Write the first four terms of the power series expansion from part a. 256+z

c. State the radius of convergence of the power series. R=