a) Express the function as the sum of real partial fractions. \text { Hence calculate the power series } \sum_{n=0}^{\infty} u_{n} x^{n} \text { of } g(x) \text { and

determine its radius of } g(x)=\frac{3 x^{2}-x+2}{(1-x)\left(1+x^{2}\right)} convergence. You must give the terms up to degree five, at least.