# Sequence converge or diverge?

• November 9th 2008, 10:01 AM
veronicak5678
Sequence converge or diverge?
How can I tell if this diverges or converges:

A_n = n - (n^2 - n) ^ (1/2)
• November 9th 2008, 10:32 AM
Plato
Quote:

Originally Posted by veronicak5678
How can I tell if this diverges or converges:
A_n = n - (n^2 - n) ^ (1/2)

$n - \sqrt {n^2 - n} = \frac{n}{{n + \sqrt {n^2 - n} }}$
Now divide through by n.
Does that help?
• November 9th 2008, 11:03 AM
veronicak5678
I see. Thanks for your help!