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

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

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

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

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

The value of lim_(x rarr oo)(sqrt(x^(2)+x+1)-sqrt(x^(2)-x+1)) equals

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

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

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

Evaluate: lim_(x rarr oo)(sqrt(x^(2)+1)-x^(3)+13)/(x^(4)+14-x^(4)+15)

[" Which of the following limit is "],[" not finite: "],[" (1) "lim_(x rarr0^(+))(cot x)^((sin x-x)/(x^(4)))],[" (2) "lim_(x rarr0^(+))(cot x)^((x^(3))/(sin x-x))],[" (3) "lim_(x rarr oo)(sqrt(x^(2)+1)-x)],[" (4) "lim_(x rarr0)(sin x)/(x^(2))]