Chapter 2.2, Problem 1QC

In Example 1, suppose we redefine the function at one point so that $f\left(1\right)=1$ Does this change the value of $\underset{x\to 1}{\lim }f\left(x\right)?$

Example 1 Finding Limits from a Graph

Use the graph of f (Figure 2.7) to determine the following values, if possible.

1. a.   $f\left(1\right)$ and $\underset{x\to 1}{\lim }f\left(x\right)$
2. b.   $f\left(2\right)$ and $\underset{x\to 2}{\lim }f\left(x\right)$
3. c.   $f\left(3\right)$ and $\underset{x\to 3}{\lim }f\left(x\right)$