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Algebra of Limits

Question

Evaluate: $lim x \to 2 \frac{x^{2} + 5}{x^{2} - 3}$

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Solution

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$lim x \to 2 \frac{x^{2} + 5}{x^{2} - 3} = \frac{2^{2} + 5}{2^{2} - 3} = \frac{4 + 5}{4 - 3} = 9$

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