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Homework Statement
Find the limit as x-->infinity of (x+2)/sqrt (9x^2 + 1)
Homework Equations
look at the dominating terms
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...