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Question Number 203822 by 073 last updated on 29/Jan/24

Answered by esmaeil last updated on 29/Jan/24

$$1:\frac{1}{x}=p\stackrel{x\to \mathrm{\infty }\to p\to 0}{\to }\left[\frac{x+1}{x}\right]=[p+1)=1\to$$$$\mathrm{\Omega }=\underset{p\to 0}{\lim }\frac{sinp}{p}=1$$

Answered by esmaeil last updated on 29/Jan/24

$$2:\mathrm{\Omega }=\underset{x\to \stackrel{-}{1}}{\lim }\frac{2x(1-x)}{1-x}=2$$$$3:\mathrm{\Omega }=\underset{x\to \stackrel{+}{0}}{\lim }\frac{\left[x\right]-x}{x}=\underset{x\to 0}{\lim }\frac{0-x}{x}=-1$$

Answered by MathematicalUser2357 last updated on 30/Jan/24

$$Whatis:\left[\left[x\right]\right]$$

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