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Q. 20

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Found in: Page 876

### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

# Use the graph shown to determine if the limit exists. If it does, find its value.

The value is $\underset{x\to 2}{\mathrm{lim}}f\left(x\right)=2$.

See the step by step solution

## Step 1. Given Information

We are given the graph and we need to determine if the limit exists and find its value.

## Step 2. Finding the limit

We need to find the limit of the function as $x$ approaches to $2$ of $f\left(x\right)$.

The graph of the function reaches a removable discontinuity when $x$ approaches to $2$.

From the graph, we can clearly see that $f\left(x\right)$ approaches $2$ as $x$ approaches to $2$.

$\therefore \underset{x\to 2}{\mathrm{lim}}f\left(x\right)=2$