TIFR-2013-Maths-B: 11

Question

True/False Question :

Consider the sequences 

$$x_{n}=\sum_{j=1}^{n}\frac{1}{j}$$

$$y_{n}=\sum_{j=1}^{n}\frac{1}{j^{2}}$$

Then $\left \{ x_{n} \right \}$ is Cauchy but $\left \{ y_{n} \right \}$ is not.