Evaluate: `underset(xrarr2)"lim"(x^(3)-2x^(2))/(x^(2)-5x+6)`

Evaluate: lim_(xrarr2) (x^(3)-2x^(2))/(x^(2)-5x+6)

Evaluate the following limits and justify each step. underset(xrarr -2) ( "Lim") ( x^(3)+2x^(2) -1)/(5-3x)

lim_(xrarr3) ](x^(3)-27)/(2x^(2)-5x-3)

lim_(xrarr2) (3x^(2)-x-10)/(x^(2)-4)

lim_(xrarr2) (x^(2)-5x+6)/(x^(2)-6x+8)

lim_(xrarr2) (x^(3)-8)/(x^(2)-4)

lim_(xrarr3) (x^(4)-81)/(2x^(2)-5x- 3)

Evaluate : lim_(x rarr2)(x^(2)-5x+6)/(x^(2)-4)

Evaluate underset(x to -oo)lim(sqrt(x^(2)+3x+1))/(2x+4)