limit(2*(square root x) - (square root x+2)) x approaching infinity
If I read this right, you have
2√x - √(x+2)
as x --> oo, x+2 --> x, so √(x+2) --> √x
so, you are left with
2√x - √x = √x --> oo
2√x - √(x+2)
as x --> oo, x+2 --> x, so √(x+2) --> √x
so, you are left with
2√x - √x = √x --> oo