# Chapter 3 - The Derivative - 3.1 Limits - 3.1 Exercises: 20

The limit does not exist.

#### Work Step by Step

Please see image attached for the values that need to be entered into the table. Reading the table, as $x$ approaches $3$ from the left, $f(x)$ seems to rise without bound, $\displaystyle \lim_{x\rightarrow 3^{-}}f(x)=+\infty$ as $x$ approaches $3$ from the right, $f(x)$ seems to descend without bound, $\displaystyle \lim_{x\rightarrow 3^{+}}f(x)=-\infty$ so we estimate that $\displaystyle \lim_{x\rightarrow 3}f(x)$ does not exist.

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