# Cauchy Sequences!

• Jan 18th 2010, 08:07 PM
frenchguy87
Cauchy Sequences!
If xn = squ(n), show that (xn) satisfies lim |xn+1 - xn| = 0, but that it is not a cauchy sequenc.
• Jan 18th 2010, 08:09 PM
Drexel28
Quote:

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 $x_{4n}-x_n=\sqrt{n}$