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Question

Evaluate the Given limit: $lim x \to 2 \frac{3 x^{2} - x - 10}{x^{2} - 4}$

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Solution

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$lim x \to 2 \frac{3 x^{2} - x - 10}{x^{2} - 4} = lim x \to 2 \frac{(x - 2) (3 x + 5)}{(x - 2) (x + 2)}$
$= lim x \to 2 \frac{3 x + 5}{x + 2} = \frac{3 (2) + 5}{2 + 2} = \frac{11}{4}$

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Q1

Evaluate the Given limit:

lim x \to 2 \frac{3 x^{2} - x - 10}{x^{2} - 4}

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Q2

Find the limit of

{lim}_{x \to 2} \frac{3 x^{2} - x - 10}{x^{2} - 4}

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$lim x \to 2 \frac{3 x^{2} - x - 10}{x^{2} - 4}$

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∴ {lim}_{x \to 2} \frac{3 x^{2} - x - 10}{x^{2} - 4}

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{lim}_{x \to 2} \frac{3 x^{2} - x - 10}{x^{2} - 4}

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