`lim_(x rarr 2) [1/(x-2) - 4/(x^2-4)]`

Lim_(x rarr2)(x^(5)-32)/(x^(2)-4)

lim_(x rarr 1) [(x+2)/(x^2-5x+4)+(x-4)/(3(x^2-3x+2))]

lim_(x rarr 4) (x^(3/2)-8)/(x-4) =

lim_(x rarr2)(x^(3)-8)/(x^(2)-4)

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

lim_(x rarr2)(x^(2)+2x-1)/(x^(2)-4x+4)

Consider following statements and identify correct options (i) lim_(x rarr4)((2x)/(x-2)-(8)/(x-4))=lim_(x rarr4)((2x)/(x-4))-lim_(x rarr4)((8)/(x-4)) (ii) lim_(x rarr1)((x^(2)+6x-7)/(x^(2)+5x-6))=(lim_(x rarr1)(x^(2)+6x-7))/(lim_(x rarr1)(x^(2)+5x-6))

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

lim_(x rarr 4)(4x+3)/(x-2) is :

Evaluate lim_(x rarr 4) (4x + 3)/(x-2)