2.8.64 Power series

Condition: Expand the functions into power series in powers of \(x\), using standard expansions. Specify the intervals of their convergence. a) \( f(x)=\ln \left(\frac{x^{3}+2}{2}\right) \), b) \( f(x)=\frac{3 x}{8 x^{2}-1} \)