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

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

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

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

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

[" 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))]

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

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

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

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

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