\(\lim\limits_{x \to a}\frac{\sqrt x+\sqrt a}{x+a}=?\)

1.	\(\lim\limits_{x \to a}\frac{\sqrt x+\sqrt a}{x+a}=?\)
Answer» \(\lim\limits_{x \to a}\frac{\sqrt x+\sqrt a}{x+a}\) \(=\frac{\sqrt a+\sqrt a}{a+a}\) \(=\frac{2\sqrt a}{2a}\) \(=\frac{\sqrt a}{a}\) \(=\frac{1}{\sqrt a}\)

Answer»

\(\lim\limits_{x \to a}\frac{\sqrt x+\sqrt a}{x+a}\)

\(=\frac{\sqrt a+\sqrt a}{a+a}\)

\(=\frac{2\sqrt a}{2a}\)

\(=\frac{\sqrt a}{a}\)

\(=\frac{1}{\sqrt a}\)

Discussion

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