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

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

lim_(x->oo) {sqrt(x^4-x^2+1)-ax^2-a}=A finite value. Then a is equal to-

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.

lim_(x to oo)(sqrt(x^2-x+1)-ax)=b Find the value of 2(a+b) is

lim_(x to oo ) (sqrt(3x^(2)-1)-sqrt(2x^(2)-3))/(4x+3)

lim_(xrarr oo)(sqrt(3x^2-1)+sqrt(2x^2-1))/(4x+3)=

The value of lim_(x to oo) (sqrt(x^2+1)-sqrt(x^2-1)) is

The value of lim_(x->oo)(x/(x+(sqrt(x))/(x+(sqrt(x))/(x+(sqrt(x))/(x+(sqrt(x))/(x+......oo)))))) is

lim_(x rarr oo)(sqrt(x^(2)-1))/(2x+1) is equal to

Show that lim_(x rarr oo)(sqrt(x^(2)+x+1)-x)!=lim_(x rarr oo)(sqrt(x^(2)+1)-x)