Question

can someone check my work because my college T.A. said I didn't work out the problem right

Answer 1

is there a question?

Answer 2

the answer is -1

Answer 3

could you show me why?

Answer 4

\[\frac{-2x}{x-\sqrt{x^{2}+2x}} ...........

Answer 5

hope this help you, but take care for the same problem when x approaches - infinity differs from when x approaches infinity
as it shown here
http://www.wolframalpha.com/input/?i=lim+%28x%2Bsqrt%28x%5E2%2B2x%29%29&x=6&y=4