" (ii) "lim_(x rarr-oo)[sqrt(x^(2)-x+1)-ax-b]=0

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

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

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

The value of lim_(x rarr oo)[sqrt(x^(2)+x+1)-(ax+b)]=0, then

If lim_(x rarr oo)(sqrt(x^(2)-x+1)-ax-b)=0 then the value of a and b are given by:

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

lim_(x rarr oo)sqrt(x+1)-sqrt(x)

lim_(x rarr oo)(sqrt(x^(2)-x+1)-ax-b)=0, then a+b=

lim_(x rarr oo)(sqrt(x^(2)-x-1)-ax-b)=0 where a>0, then there exists at least one a and b for which point (a,2b) lies on the line

If lim_(x rarr oo)ax+sqrt(x^(2)+bx)=3