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Q. 28

Expert-verified

Precalculus Enhanced with Graphing Utilities

Found in: Page 876

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Graph each function. Use the graph to find the indicated limit, if it exists. $\lim_{x \to 4} f (x), f (x) = 3 \sqrt{x}$

The limit is $6$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information

We are given a function $f (x) = 3 \sqrt{x}$ and we need to graph the function and find $\lim_{x \to 4} f (x)$ .

Step 2. Plotting the graph

So, the graph of the function $f (x) = 3 \sqrt{x}$ is

Step 3. Finding the limit

To find the value of $\lim_{x \to 4} f (x)$ we need to find the value of the function at $x = 4$ .

$f (x) = 3 \sqrt{x} \Rightarrow f (4) = 3 \sqrt{4} \Rightarrow f (4) = 6 ∴ \lim_{x \to - 1} f (x) = 6$

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