`lim_(x->-oo)[sqrt(x^2+x+1)-x]`

8. lim_(x->oo)(sqrt(x^2+x)-x)

lim_(x->oo) (x-sqrt(x^2-1))

lim_(x->oo) (x-sqrt(x^2+x))

lim_(x->oo) (x-sqrt(x^2+x))

lim_(x->oo) (x-sqrt(x^2+x))

Evaluate the following limit: (lim)_(x->+-oo)(sqrt(x^2-2x-1)-sqrt(x^2-7x-3))

Evaluate the limit: ("lim")_(x->oo)[sqrt(a^2x^2+a x+1)-sqrt(a^2x^2+1)]

If (lim)_(x->oo)(sqrt((x^4-x^2+1))-a x^2-b)=0 , then there exists at least one a\ a n d\ b for which point (a,-2b) lies on the line.

Evaluate lim_(x rarr-oo)(sqrt(x^(2)-x+1)+x)

Evaluate: lim_(x rarr oo)sqrt(x^(2)+x+1)-x