\text { Let } f(x)=\left\{\begin{array}{lr} x^{2}-1 & \text { if } x \neq 1 \\ 4 & \text { if } x=1 \end{array}\right. Which of the following statements, I, II, and III, are true? \lim f(x) \text { exists } \text { II. } f(1) \text { exists } \text { III. } f \text { is continuous at } x

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