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

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

lim_(x rarr oo)x^(2)*{sqrt((x+2)/(x))+((x+3)/(x))^((1)/(3))}

lim_(x rarr2)(x-2)/(root(3)(x)-root(3)(2))

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

lim_(x rarr2)(x^(2)-4)/(sqrt(x+2)-sqrt(3x-2))

The value of the limit lim_(x rarr oo)(root(3)(x^(3)+x^(2))-root(3)(x^(3)-x^(2))) is equal to

lim_(x rarr2)(x-2)/(sqrt(x+2)-sqrt(3x-2))

lim_(x rarr2)(x^(3)-8)/(sqrt(x^(2)+x+2)-sqrt(3x+2))

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

Evaluete lim_(x rarr oo){(x)/(x+(root(3)(x))/(x+(root(3)(x))/(x+root(3)(x)...oo)))