7.   Evaluate the following limits \lim_{x \rightarrow 2} \frac{3 x^2 - x -10 }{x^2 -4}

Answers (1)

The limit 

\lim_{x \rightarrow 2} \frac{3 x^2 - x -10 }{x^2 -4}

\Rightarrow \lim_{x \rightarrow 2} \frac{(x-2)(3x+5) }{(x-2)(x+2)}

\Rightarrow \lim_{x \rightarrow 2} \frac{(3x+5) }{(x+2)}

\Rightarrow \frac{(3(2)+5) }{((2)+2)}

\Rightarrow \frac{11 }{4} (Answer)

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