Question

find the limit

Answer 1

\[\lim_{x \rightarrow -\infty}\frac{ x }{ \sqrt{x ^{2}+1} }\]

Answer 2

http://www.wolframalpha.com/widgets/view.jsp?id=265eceb6d4d961057f1b483a558e2885

Answer 3

if you want to solve it by hand, try to get rid of the sqrt on the denominator

Answer 4

or factor out

Answer 5

and use horizontal asymptotes