[tex]\lim_{x\rightarrow -\infty\\} \frac{\sqrt{5x^2-2}}{x+3}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

When I first looked at it i thought the top will increase to inf. at a rate of [tex]\sqrt5[/tex] and the bottom will increase to inf. at a rate of -1, thus the answer would be [tex]-\sqrt5[/tex]

However when i do the algebra i get this...

[tex]\lim_{x\rightarrow -\infty\\} \frac{\sqrt{5x^2-2}}{x+3}[/tex]

[tex]\lim_{x\rightarrow -\infty\\} \frac{x\sqrt{5-2/x^2}}{x(1+3/x)}[/tex]

[tex] \frac{\sqrt{5-0}}{1+0}=\sqrt5[/tex] but the answer is negative

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# Easy Limit Problem

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