함수의 좌극한과 우극한(The Left and Right Limits of the Function)

• 좌극한과 우극한의 정의(Definition of Left Hand and Right Hand Limits)

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• $\displaystyle\lim_{x\rightarrow 0 +} f(x)$, $\displaystyle\lim_{x\rightarrow 0 -} f(x)$ of $y=f(x)=\begin{cases} -x &, \text{if } x< 0 \\ x+1&, \text{if } x \ge 0 \end{cases}$

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• $\displaystyle\lim_{x\rightarrow 0 +} f(x)$, $\displaystyle\lim_{x\rightarrow 0 -} f(x)$ of $y=f(x)=\begin{cases} g(x), & \text{if } x\neq a \\ \gamma, & \text{if } x= a \end{cases}$

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• $\displaystyle\lim_{x\rightarrow 0 +} f(x)$, $\displaystyle\lim_{x\rightarrow 0 -} f(x)$ of $y=f(x) \ \ (x\neq a)$

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