The figure above shows the graph of a function $f$ with domain $0\leq x\leq 4$. Which of the following statements are true?

• $\hskip{1em}\lim\limits_{x\to 2^-}f(x)$ exists.
• $\hskip{1em}\lim\limits_{x\to 2^+}f(x)$ exists.
• $\hskip{1em}\lim\limits_{x\to 2}f(x)$ exists.

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Recall that the limit exists if the left and right hand limits equal each other. From the graph,

$$\lim\limits_{x\to 2^-}f(x) \neq \lim\limits_{x\to 2^+}f(x)$$