Please help me with these power series problems.

8.6.4 Exercises 1. Finding coefficients in a power series expansion of a rational function. Activate 5 o0 Represent the function W as a power series f(z) = E " 0 n=0 Cyp C1 = Co = Cg = Cq4 Find the radius of convergence R = 2. Finding coefficients in a power series expansion of a function involving arctan(x). Activate The function f(x) = 5x arctan(3x) is represented as a power series f (ze ) = Ecnzen. n=0 Find the first few coefficients in the power series. CO = C1 C2 = C3 C4: Find the radius of convergence R of the series. R =