`lim_(x->oo) x^2*{sqrt((x+2)/x)+((x+3)/x)^(1/3)}`

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

lim_(x ->oo)x^(2)(sqrt((x+2)/(x))-root(3)((x+3)/(x))) equals

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

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

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

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

lim_ (x rarr oo) (2sqrt (x) + 3x ^ ((1) / (3)) + 5x ^ ((1) / (3))) / (sqrt (3x-2) + (2x-3) ^ ((1) / (3)))

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

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

lim_ (x rarr oo) (2sqrt (x) + 3x ^ (1/3) + 5x ^ (1/5)) / (sqrt (3x-2) + (2x-3) ^ (1/3))