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# Evaluate the following limits limit x tends to 2 3 x ^2 - x - 10/ x - 2

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

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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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