# Thread: Sequence converge or diverge?

1. ## Sequence converge or diverge?

How can I tell if this diverges or converges:

A_n = n - (n^2 - n) ^ (1/2)

2. Originally Posted by veronicak5678
How can I tell if this diverges or converges:
A_n = n - (n^2 - n) ^ (1/2)
$\displaystyle n - \sqrt {n^2 - n} = \frac{n}{{n + \sqrt {n^2 - n} }}$
Now divide through by n.
Does that help?

3. I see. Thanks for your help!