Give without proof the power series expansions of the functions $t \mapsto \ln ( 1 - t )$ and $t \mapsto \frac { 1 } { 1 - t }$ as well as their radius of convergence.
Give without proof the power series expansions of the functions $t \mapsto \ln ( 1 - t )$ and $t \mapsto \frac { 1 } { 1 - t }$ as well as their radius of convergence.