How Do You Find the Limit When L'Hopital's Rule Fails?

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niyati
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I'm suppose to find the limit as x goes to infinity of [(9x + 1) ^ (1/2)] / [(x+1) ^ (1/2)].

L'Hopital's Rule does not work on here (it said so even in the directions) as the function keeps on cycling.

...they gave us the answer (3) but I need to find out how.

:S
 
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