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## Homework Statement

lim(x→2)(x^2+x-6)/(x-2)

## Homework Equations

## 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.