In Exercises 3740, complete the following for the given

Chapter 10, Problem 10.1.1.191

(choose chapter or problem)

In Exercises 37–40, complete the following for the given piecewise-defined function ƒ.

(a) Draw the graph of ƒ.

(b) Determine \(\lim _{x \rightarrow a^{+}} f(x) \text { and } \lim _{x \rightarrow a^{-}} f(x)).

(c) Writing to Learn Does \(\lim _{x \rightarrow a} f(x)\) exist? If it does, give its value. If it does not exist, give an explanation.

\(a=0, f(x)=\left\{\begin{array}{ll} |x-3| & \text { if } x<0 \\ x^{2}-2 x & \text { if } x \geq 0 \end{array}\right.\)

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