grandes-ecoles 2012 QII.B.1

grandes-ecoles · France · centrale-maths1__pc Sequences and Series Power Series Expansion and Radius of Convergence
Give the power series expansion of the function $t \mapsto \frac { 1 } { ( 1 - t ) ^ { 2 } }$ as well as its radius of convergence. Specify whether the series converges at the endpoints of the interval of convergence.
Give the power series expansion of the function $t \mapsto \frac { 1 } { ( 1 - t ) ^ { 2 } }$ as well as its radius of convergence. Specify whether the series converges at the endpoints of the interval of convergence.