3.Evaluate `lim_(x->1)(x-1)/(x^3-1)`

Evaluate lim_(x to 1) (x^3-1)/(x^2-1)

lim_(x->0) (x^3-3x+1)/(x-1)

lim_(x->0) (x^2-3x+1)/(x-1)

Evaluate lim_(x rarr1)(x^(3)-1)/(x-1)

Evaluate, lim_(x to 1) (x^(4)-1)/(x-1)=lim_(x to k) (x^(3)-k^(3))/(x^(2)-k^(2)) , then find the value of k.

Evaluate : lim_( x->1 ) ( x^2 + 3 )

Evaluate: lim_(xrarr1) [(x-2)/(x^(2)-x)-(1)/(x^(3)-3x^(2)+2x)]

Evaluate lim_(x to 1) (x^(3) - 1)/(x - 1)

Evaluate : lim_(x->1 ) sqrt( x -1 )/ ( 3sqrt(x) -1 )

Evaluate, lim_(X rarr1)(x^(3)-1)/(x^(2)-1)