# Evaluate to see if the limit exists?

• Oct 21st 2010, 12:25 PM
swtdelicaterose
Evaluate 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, 12:38 PM
chisigma
Is...

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

... so that...

Kind regards

$\chi$ $\sigma$
• Oct 21st 2010, 12:45 PM
Ackbeet
Hmm. Careful with the signs. x < 0.