Let F (X) = Find the Following Limits $\lim _ { x \rightarrow - 2 ^ { - } } f ( x )$

question 107

Essay

Let f (x) = $$\left\{ \begin{array} { l l } \sqrt { - 2 - x } & \text { if } x \leq - 2 \\x & \text { if } - 2 < x \leq 2 \\x ^ { 2 } - 4 x + 6 & \text { if } x > 2\end{array} \right.$$ . Find the following limits. Justify your answers.(a) $\lim _ { x \rightarrow - 2 ^ { - } } f ( x )$ (b) $\lim _ { x \rightarrow - 2 ^ { + } } f ( x )$ (c) $lim _ { x \rightarrow - 2 } f ( x )$ (d) $\lim _ { x \rightarrow 2 ^ { - } } f ( x )$ (e) $\lim _ { x \rightarrow 2 ^ { + } } f ( x )$ (f) $\lim _ { x \rightarrow 2 } f ( x )$

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