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

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

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

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

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

Evaluate lim_(x to 2) (x^2+x+2)/(x^3+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 rarr0)(a^(2x)-1)/(x)

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

Evaluate lim_(xto1) ((2x-3)(sqrt(x)-1))/(2x^(2)+x-3).

Evaluate :lim_(x rarr1)((2)/(1-x^(2))+(1)/(x-1))