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

[" 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))]

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

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

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

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

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

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

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

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

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