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Algebra of Limits

Evaluate : ...

Question

Evaluate : $l i m_{x \to 4} \frac{\sqrt{5 + x} - \sqrt{4 - x}}{x}$

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Solution

$l i m_{x \to 4} \frac{\sqrt{5 + x} - \sqrt{4 - x}}{x}$

$= \frac{\sqrt{5 + 4} - \sqrt{4 - 4}}{4}$

$= \frac{3}{4}$

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