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.
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Instead of expanding it out to: $\displaystyle n^{2}-n$, leave it in the form $\displaystyle n(n-1)$. If you evaluate the limit in this form you have: $\displaystyle \lim_{n \rightarrow \infty } n(n-1) = ( \infty )( \infty ) = \infty $ Thus divergent.
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