`lim_(x->2)sqrt((x^2-16)/(x^3-8))`

lim_(x->2)(sqrt(x+7)-3)/(x-2)

lim_(x-> -3)(2-sqrt(x^2-5))/(x+3)

lim_(x->sqrt(3))(x^2-3)/(x^2+3sqrt(3)x-12)

lim_(x-> -1) (sqrt(x^2+8)-3)/(x+1)

The value of lim_(xto2) (((x^(3)-4x)/(x^(3)-8))^(-1)-((x+sqrt(2x))/(x-2)-(sqrt(2))/(sqrt(x)-sqrt(2)))^(-1))" is "

8. lim_(x->oo)(sqrt(x^2+x)-x)

Find the following limits: lim_(xrarr2)(x^3-12x+16)/(3x^3-8x^2-4x+16)

Evaluate the following limits : Lim_(x to 2) ((x^(8)-16)/(x^(4)-4) +(x^(2)-9)/(x-3))

Evaluate lim_(xto0)(sqrt(x^2+1)-1)/(sqrt(x^2+16)-4)

lim_(x to2)((x^(3)-8)/(x^(4)-16))=