Evaluate the Given limit: \( \lim\limits_{x \to 2} \dfrac{3x^2-x-10}{x^2-4} \)

Asked by Pragya Singh | 11 months ago |  59

1 Answer

Solution :-

At x = 2, the value of the given rational function takes the form \( \dfrac{0}{0}\)

\( \lim\limits_{x \to 2} \dfrac{3x^2-x-10}{x^2-4} \)

\( \lim\limits_{x \to 2} \dfrac{(x-2)(3x+5)}{(x-2)(x+2)} \)

\( \lim\limits_{x \to 2} \dfrac{3x+5}{x+2} \)

\( \dfrac{3(2)+5}{2+2} =\dfrac{11}{4}\)

Answered by Abhisek | 11 months ago

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