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Question Number 26293 by d.monhbayr@gmail.com last updated on 23/Dec/17

$$\underset{x\to \mathrm{\infty }}{\lim }(3\sqrt{1-x^3+x)}$$

Answered by Joel578 last updated on 24/Dec/17

$$L=3.\underset{x\to \mathrm{\infty }}{\lim }\sqrt{1+x-x^3}$$$$=3.\underset{x\to \mathrm{\infty }}{\lim }\sqrt{x^3(\frac{1}{x^3}+\frac{1}{x^2}-1)}$$$$=3.\underset{x\to \mathrm{\infty }}{\lim }\sqrt{{\mathrm{\infty }}^3(-1)}$$$$=i\mathrm{\infty }\left(\mathrm{I}\mathrm{didnt}\mathrm{sure}\mathrm{the}\mathrm{answer}\mathrm{is}i\mathrm{\infty }\mathrm{or}\mathrm{just}\mathrm{\infty }\right)$$

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