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Expert-verified 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 limit does not exist.

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 $3$ of $f\left(x\right)$.

The graph of the function reaches a removable discontinuity when $x$ approaches to $3$ from the left.

From the graph, we can clearly see that $f$ approaches to $3$ from the left and to $6$ from the right as $x$ approaches to $3$.

The value of the function from the left and right limits does not coincide.

Therefore, the limit does not exist. ### Want to see more solutions like these? 