Limits And Derivatives

Question

Evaluate $space space space space space space space space space space limit as straight x rightwards arrow 2 of fraction numerator 3 straight x squared minus straight x minus 10 over denominator straight x squared minus 4 end fraction$

Solution

Evaluating the function at x =2, it is of the form $0 over 0$ .
Therefore, $WiredFaculty$
                            $WiredFaculty$
              $space space space space space space space space space space space equals fraction numerator 3 left parenthesis 2 right parenthesis plus 5 over denominator 2 plus 2 end fraction equals 11 over 4$