Question

find limit as x approaches negative infinity
x / (x-sqrt. (x^2 +7))

Answer 1

\[\lim_{x \rightarrow -\infty}\frac{x}{x-\sqrt{x^2+7}}\]

Answer 2

So do you know what to divide both top and bottom by?

Answer 3

oh yeah! i get it now! thank you :)

Answer 4

don't forget
\[\sqrt{x^2}=|x|=-x \text{ since } x<0\]