Limit as x approaches negative infinity

[hangainlover]

Homework Statement

as x approaches negative infinity, what value does this function approach ?

limit square root (X^2+X) + X

Homework Equations

The Attempt at a Solution

First, i manipulated the given function to take out absolute (x) from the square root



so, what i get is, limit absolute value (x) square root (1+1/x) +x



now, i get infinity - infinity. (looks like an indeterminate form)

I do not know where to go from this point.



Thanks

 

[vela]

Pull the x down into the denominator, then use L'Hopital's rule.