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Question
\[\lim_{x \to a} \frac{\sqrt{x} + \sqrt{a}}{x + a}\]
Solution
\[\lim_{x \to a} \left( \frac{\sqrt{x} + \sqrt{a}}{x + a} \right)\]
\[ = \frac{\sqrt{a} + \sqrt{a}}{a + a}\]
\[ = \frac{2\sqrt{a}}{2a}\]
\[ = \frac{1}{\sqrt{a}}\]
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