# Math Help - Cauchy Sequences!

1. ## Cauchy Sequences!

If xn = squ(n), show that (xn) satisfies lim |xn+1 - xn| = 0, but that it is not a cauchy sequenc.

2. Originally Posted by frenchguy87
If xn = squ(n), show that (xn) satisfies lim |xn+1 - xn| = 0, but that it is not a cauchy sequenc.
The first part is trivial. For the second part note that $x_{4n}-x_n=\sqrt{n}$