3. (Power Series) 00 (-1)n+ (2x - 1)n+2 o (a) Find the closed form and find the interval of convergence of the power series 3n n=0 o (b) Find the power series of the function f (a) = centereed at 2, and find the radius & interval of convergence. 4. (Taylor Polynomials) Consider the function f(a) = 1 + 2 2 . o (a) Find the degree 3 Taylor polynomial approximation to f centered at 0. o (b) Use this polynomial to approximate f(0.25) o (c) Compare the approximation with the exact value of fat 0.25 and find the error in the approximation