grandes-ecoles 2018 Q2

grandes-ecoles · France · centrale-maths2__pc Sequences and Series Uniform or Pointwise Convergence of Function Series/Sequences

Show that $\zeta$ is continuous on $\mathcal{D}_{\zeta}$, where $\zeta(x) = \sum_{n=1}^{+\infty} \frac{1}{n^x}$.

Show that $\zeta$ is continuous on $\mathcal{D}_{\zeta}$, where $\zeta(x) = \sum_{n=1}^{+\infty} \frac{1}{n^x}$.