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Q. 29

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.
$\lim_{x \to \frac{π}{2}} f (x), f (x) = \sin (x)$

The limit is $1$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information

We are given a function $f (x) = \sin (x)$ and we need to graph the function and find $\lim_{x \to \frac{π}{2}} f (x)$ .

Step 2. Plotting the graph

So, the graph of the function $f (x) = \sin (x)$ is

Step 3. Finding the limit

To find the value of $\lim_{x \to \frac{π}{2}} f (x)$ we need to find the value of the function at $x = \frac{π}{2}$ .

$f (x) = \sin (x) \Rightarrow f (\frac{π}{2}) = \sin (\frac{π}{2}) \Rightarrow f (\frac{π}{2}) = 1 ∴ \lim_{x \to \frac{π}{2}} f (x) = 1$

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