lim x -> negative infinity

sqrt(x + x^2)/ x

I'm not quite sure how to solve this equation, can someone help me?

Thank you!

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- Oct 21st 2010, 11:25 AMswtdelicateroseEvaluate to see if the limit exists?
lim x -> negative infinity

sqrt(x + x^2)/ x

I'm not quite sure how to solve this equation, can someone help me?

Thank you! - Oct 21st 2010, 11:38 AMchisigma
Is...

$\displaystyle \displaystyle \frac{\sqrt{x+x^{2}}}{x} = \frac{\sqrt{1+\frac{1}{x}}}{1}$

... so that...

Kind regards

$\displaystyle \chi$ $\displaystyle \sigma$ - Oct 21st 2010, 11:45 AMAckbeet
Hmm. Careful with the signs. x < 0.