`lim_(x rarr oo)(sqrt(x)-2)`

lim_(x rarr oo)(sqrt(x)-3)/(sqrt(x)+3)

Prove that: lim_(x rarr oo)x(sqrt(x^(2)+1)-sqrt(x^2-1))) = 1

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

lim_(x rarr oo)(sqrt(4x^(2)+x)-sqrt((4x^(3))/(x+2)))(oo-oo) form

The value of lim_(x rarr oo)(sqrt(4x^(2)+5x+8))/(4x+5)

Evaluate: lim_(x rarr oo)(sqrt(3x^(2)-1)-sqrt(2x^(2)-1))/(4x+3)

If lim_(x rarr oo)(sqrt(x^(4)-x^(2)+1)-ax^(2)-b)=0 then there existat least one a and b for which point (a,-4b) lies on the line

Let a,b in R. If lim_(x rarr oo)(3sqrt(4x^(2)-x^(3))3+ax+b)=(1)/(3) then the sum (a+b) equals

lim_(x rarr oo)((sqrt(x+a)-sqrt(x))/x)

lim_(x rarr oo)(sqrt(x-a)-sqrt(x-b))