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

Evaluate the following limit : lim_(x rarr 2)[1/(x-2)- (2(2x -3))/(x^3-3x^2+2x)] .

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

lim_(x rarr2)[(x-2)/(x^(2)-4)-(1)/(x^(3)-3x^(2)+x)]=(1)/(m) where l and m are mutually prime then the value of (l+m)

lim_(x rarr1)[(x-1)/(x^(2)-x)-(1)/(x^(3)-3x^(2)+x)]

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

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

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

lim_(x rarr2)(x^(3)+x^(2)-12)/(x^(3)-x^(2)-x-2)

Evaluate the following limit : lim_(x rarr 1)[(x-2)/(x^2-x) -1/(x^3-3x^2+2x)] .