5} \frac{-\sqrt{5}+\sqrt{x}}{-5+5^{\frac{2}{3}}\sqrt[3]{x}}=" alt="lim_{x->5} \frac{-\sqrt{5}+\sqrt{x}}{-5+5^{\frac{2}{3}}\sqrt[3]{x}}=" align="absmiddle" class="latex-formula">
5} \frac{\sqrt{x}-\sqrt{5}}{5^{\frac{2}{3}}(\sqrt[3]{x}-\sqrt[3]{5})}=" alt="lim_{x->5} \frac{\sqrt{x}-\sqrt{5}}{5^{\frac{2}{3}}(\sqrt[3]{x}-\sqrt[3]{5})}=" align="absmiddle" class="latex-formula">
5} \frac{(\sqrt[6]{x}-\sqrt[6]{5})(\sqrt[3]x+\sqrt[6]{5x}+\sqrt[3] 5)}{\sqrt[3]{25}(\sqrt[6]{x}-\sqrt[6]{5})(\sqrt[6]{x}+\sqrt[6]{5})}=" alt="lim_{x->5} \frac{(\sqrt[6]{x}-\sqrt[6]{5})(\sqrt[3]x+\sqrt[6]{5x}+\sqrt[3] 5)}{\sqrt[3]{25}(\sqrt[6]{x}-\sqrt[6]{5})(\sqrt[6]{x}+\sqrt[6]{5})}=" align="absmiddle" class="latex-formula">
5}
\frac{\sqrt[3]x+\sqrt[6]{5x}+\sqrt[3]
5}{\sqrt[3]{25}(\sqrt[6]{x}+\sqrt[6]{5}}=" alt="lim_{x->5}
\frac{\sqrt[3]x+\sqrt[6]{5x}+\sqrt[3]
5}{\sqrt[3]{25}(\sqrt[6]{x}+\sqrt[6]{5}}=" align="absmiddle" class="latex-formula">
![\frac{(\sqrt[3] {5}+\sqrt[3]{5}+\sqrt[3]
{5})}{\sqrt[3]{25}(\sqrt[6]{5}+\sqrt[6]{5})}=\frac{3\sqrt[3]{5}}{2\sqrt[3] {25}\sqrt[6]{5}}=\frac{3\sqrt[6]{5}}{2\sqrt[6]{625}}=\\\\ \frac{3}{2\sqrt[6]{125}}=\frac{3}{2*\sqrt5}](https://tex.z-dn.net/?f=%5Cfrac%7B%28%5Csqrt%5B3%5D+%7B5%7D%2B%5Csqrt%5B3%5D%7B5%7D%2B%5Csqrt%5B3%5D+%0A%7B5%7D%29%7D%7B%5Csqrt%5B3%5D%7B25%7D%28%5Csqrt%5B6%5D%7B5%7D%2B%5Csqrt%5B6%5D%7B5%7D%29%7D%3D%5Cfrac%7B3%5Csqrt%5B3%5D%7B5%7D%7D%7B2%5Csqrt%5B3%5D+%7B25%7D%5Csqrt%5B6%5D%7B5%7D%7D%3D%5Cfrac%7B3%5Csqrt%5B6%5D%7B5%7D%7D%7B2%5Csqrt%5B6%5D%7B625%7D%7D%3D%5C%5C%5C%5C+%5Cfrac%7B3%7D%7B2%5Csqrt%5B6%5D%7B125%7D%7D%3D%5Cfrac%7B3%7D%7B2%2A%5Csqrt5%7D "\frac{(\sqrt[3] {5}+\sqrt[3]{5}+\sqrt[3]
{5})}{\sqrt[3]{25}(\sqrt[6]{5}+\sqrt[6]{5})}=\frac{3\sqrt[3]{5}}{2\sqrt[3] {25}\sqrt[6]{5}}=\frac{3\sqrt[6]{5}}{2\sqrt[6]{625}}=\\\\ \frac{3}{2\sqrt[6]{125}}=\frac{3}{2*\sqrt5}")