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Question Number 207382 by efronzo1 last updated on 13/May/24

Answered by sniper237 last updated on 13/May/24

$$\stackrel{X{=}^3\sqrt{x-2}}{=}\underset{X\to 0}{\lim }\frac{X^6+2X^3+X}{{}^3\sqrt{4-2\sqrt{3X^3+4}-X^3\sqrt{3X^3+4}}}$$$$=\underset{X\to 0}{\lim }\frac{X^5+2X^2+1}{{}^3\sqrt{\frac{-12}{4+2\sqrt{3X^3+4}}-\sqrt{3X^3+4}}}$$$$=-{}^3\sqrt{\frac{2}{7}}$$

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