Limit approaching negative infinity

[logaliciouz]

lim x( (x2 −2x+5)^(1/2)−|x−1|)
x→−∞

so far, the only way I have started the question is by multiplying for the conjugate but i cannot get it to simply to the answer which is -2 after that step.

 

[Mark44]

lim x( (x2 −2x+5)^(1/2)−|x−1|)
x→−∞

so far, the only way I have started the question is by multiplying for the conjugate but i cannot get it to simply to the answer which is -2 after that step.

Show us what you did.