1. The problem statement, all variables and given/known data lim(x→2)(x^2+x-6)/(x-2) 2. Relevant equations 3. The attempt at a solution lim(x→2)(x^2+x-6)/(x-2)=lim(x→2)(d/dx(x^2+x-6))/(d/dx(x-2))=lim(x→2)(2x+1)/1=lim(x→2)(2x+1)=5 Is this a right solution? I have never done such before, so I am not sure in my answer.