## Calculus: Early Transcendentals (2nd Edition)

Published by Pearson

# Chapter 2 - Limits - 2.2 Definitions of Limits - 2.2 Exercises: 11

#### Answer

$\textbf{a.}$ The table is shown below: $\textbf{b.}$ $\lim_{x\to2}f(x)=4$

#### Work Step by Step

$f(x)=\dfrac{x^{2}-4}{x-2}$ $\textbf{a.}$ Evaluate the function given for each value of $x$ given in the table shown in the answer section: $\textbf{b.}$ As it can be seen in the table above, $\lim_{x\to2}f(x)=4$, because as $x$ gets closer to $2$ from the left or from the right, $f(x)$ gets closer to $4$

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