Chapter 14: Q. 29 (page 876)

Graph each function. Use the graph to find the indicated limit, if it exists.
$\lim_{x \to \frac{π}{2}} f (x), f (x) = \sin (x)$

Short Answer

Expert verified

The limit is $1$ .

Step by step solution

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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Graph each function. Use the graph to find the indicated limit, if it exists.
$\lim_{x \to \frac{π}{2}} f (x), f (x) = \sin (x)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Plotting the graph

Step 3. Finding the limit

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Graph each function. Use the graph to find the indicated limit, if it exists.limx→π2f(x),f(x)=sinx

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Plotting the graph

Step 3. Finding the limit

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

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Study anywhere. Anytime. Across all devices.

Graph each function. Use the graph to find the indicated limit, if it exists.
$\lim_{x \to \frac{π}{2}} f (x), f (x) = \sin (x)$