grandes-ecoles 2019 Q5

grandes-ecoles · France · centrale-maths1__psi Sequences and Series Evaluation of a Finite or Infinite Sum

For $x \in ]-1,1[$, give the value of the sum of the power series $\sum_{p=1}^{+\infty} x^{p}$ as well as that of its derivative.

For $x \in ]-1,1[$, give the value of the sum of the power series $\sum_{p=1}^{+\infty} x^{p}$ as well as that of its derivative.