grandes-ecoles 2018 Q4

grandes-ecoles · France · centrale-maths2__pc Sequences and Series Limit Evaluation Involving Sequences

Justify that $\zeta(x) = \sum_{n=1}^{+\infty} \frac{1}{n^x}$ admits a limit at $+\infty$.

Justify that $\zeta(x) = \sum_{n=1}^{+\infty} \frac{1}{n^x}$ admits a limit at $+\infty$.