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## anonymous 4 years ago find limit as x approaches infinity sqrt. (x+3) / sqrt. (3x+1)

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1. anonymous

$\lim_{x \rightarrow \infty}\frac{\sqrt{x+3}}{\sqrt{3x+1}}=\lim_{x \rightarrow \infty}\sqrt{\frac{x+3}{3x+1}}$

2. anonymous

now just look at the expression within the square root $\lim_{x \rightarrow \infty}\frac{{x+3}}{{3x+1}}$ remember that it is all under a square root, so if the limit of that is negative, then there is no solution because you cant take the square root of a negative number

3. anonymous

can you solve it now?

4. anonymous

i thought it was 1/3 but it's not

5. anonymous

|dw:1348034899805:dw|

6. anonymous

ohhhhhhhhhh!

7. anonymous

(:

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