Sequence converge or diverge?

How can I tell if this diverges or converges:

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

Quote:

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Originally Posted by veronicak5678

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

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Now divide through by n.
Does that help?

I see. Thanks for your help!