Find the limit algebraically (without graphing)

$\displaystyle \lim_{x\to -\infty}\frac{x}{\sqrt{x^2+4}}$

lim as x approaches negative infinity

I'm confused please help!

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- Sep 18th 2009, 06:39 PMyoman360Find the Limit
Find the limit algebraically (without graphing)

$\displaystyle \lim_{x\to -\infty}\frac{x}{\sqrt{x^2+4}}$

lim as x approaches negative infinity

I'm confused please help! - Sep 18th 2009, 07:02 PMKrizalid
$\displaystyle \frac{x}{\sqrt{x^{2}+4}}=\frac{x}{-x\sqrt{1+\dfrac{4}{x^{2}}}}=-\frac{1}{\sqrt{1+\dfrac{4}{x^{2}}}},$

$\displaystyle |x|=-x$ since $\displaystyle x<0.$ - Sep 18th 2009, 07:06 PMyoman360
- Sep 18th 2009, 07:15 PMyoman360
- Sep 18th 2009, 07:19 PMredsoxfan325