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

Evaluate the following limit: (lim)_(x rarr2)((x)/(x-3)-(4)/(x^(2)-2x))

lim_(x rarr2)[(1)/(x-2)-(4)/(x^(2)-4)]

Evaluate the following limit: (lim)_(x rarr2)((1)/(x-2)-(4)/(x^(3)-2x^(2)))

Show that lim_(x rarr2)[(1)/(x-2)-(1)/(x^(2)-3x+2)]=

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

lim_(x rarr2)(x-2)/(x+1)=

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 rarr oo)(2-(1)/(x)+(4)/(x^(2)))

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