2 3 (7) Consider the function given by f(z) = = + % + % 4 (a) Write the power series representation of f and identify its center. (b) Find the interval of convergence of f. Show all your work in detail. (c) Sketch the interval you found in part (b). On it mark the center and the radius of convergence. (d) Find the power series representation of [ f(x) dz and write out it's first three terms. () Find the interval of convergence of [ f(z) dz. Show all your work in detail. (f) Sketch the interval you found in part (). On it mark the center and the radius of convergence