help me with Calc please

hey guys, I keep trying to solve this Calc problem.

lim   sqrt(x^2+5x)-x
x->[infinity]

I know that it eventually works out to being 5/2. But the some of the steps are a little beyond me. Can anybody help?

>>1
I would suggest that you invert the cosign.
Also, you'll get a better crop yield if you de-lineate the tangents, and then proceed with mulching.