Limit of a Sequence

1. Aug 30, 2006

G01

I have to find out where this sequence converges or if it converges a all:

$$a_n = \sqrt{n} - \sqrt{n^2 - 1}$$

Now, I cant seem to find a good method to solve this. Would my best bet be to use L'hopitals rule to find the limit of the equivalent function or should I try the squeeze theorem. Thats my question. Thanks for the help.

2. Aug 30, 2006

durt

It looks like it diverges, so show that it is bounded by a divergent sequence.

3. Aug 30, 2006

G01

ok how the this sound as a complete solution?