19.1.2.5 Convergence in metric spaces

condition: Does the sequence converge \( \left\{x_{n}\right) \), \( x_{n}=\left(1, \frac{1}{\sqrt{2}}, \ldots, \frac{1}{\sqrt{n}}, 0, \ldots\right) \) in the space \( l_{3} \) ?