Prove that \begin{equation} \lim_{h\to 0}\,\frac{1}{\sqrt{x+h}+\sqrt{x}}=\frac{1}{2\sqrt{x}}. \end{equation}
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Lesson Parent:
Problem:
Prove that
\begin{equation}
\lim_{h\to 0}\,\frac{1}{\sqrt{x+h}+\sqrt{x}}=\frac{1}{2\sqrt{x}}.
\end{equation}
Answer:
\begin{equation} \lim_{h\to 0}\,\frac{1}{\sqrt{x+h}+\sqrt{x}}=\frac{1}{2\sqrt{x}} \end{equation}
