(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the limit as x-->infinity of (x+2)/sqrt (9x^2 + 1)

2. Relevant equations

look at the dominating terms

3. The attempt at a solution

I squared the entire function to get rid of the square root (is this allowed? Or am I changing the function?) And I get (x^2 + 4x + 4)/ (9x^2 +1)

the dominating term on the top is x^2 and the dominating term on the bottom is 9x^2. Therefore, the limit as x-->infinity is x^2/9x^2 = 1/9

My professor says the answer is 1/3...

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# Homework Help: Limit of a function

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