# Math Help - infinite sequences

1. ## infinite sequences

determine whether the sequence converges or diverges. If converges find limit

An= n(n-1)

i think the sequence diverges to infinite but dosnt L'Hospital's rule apply becuase the its "infinite - infinite"
... a little confused.

2. Instead of expanding it out to:

$n^{2}-n$, leave it in the form $n(n-1)$.

If you evaluate the limit in this form you have:

$\lim_{n \rightarrow \infty } n(n-1) = ( \infty )( \infty ) = \infty$

Thus divergent.