Question

solve

Answer 1

(x-a)/(sqrt x - sqrt a) = (sqrt x- sqrt a)(sqrt x + sqrt a)/(sqrt x - sqrt a)
= sqrt x + sqrt a
nw apply the limit x->a
= sqrt a + sqrt a = 2 * sqrt a

Answer 2

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Answer 3

\[\large \lim_{x \rightarrow a} \frac{ x-a }{ \sqrt{x}-\sqrt{a} } = \lim_{x \rightarrow a} \frac{ (x-a)(\sqrt{x}+\sqrt{a}) }{ x-a} = \lim_{x \rightarrow a} \sqrt{x}+ \sqrt{a} = 2\sqrt{a}\]