Chapter 14: Q. 33 (page 876)

Graph each function. Use the graph to find the indicated limit, if it exists.
$\lim_{x \to - 1} f (x), f (x) = \frac{1}{x}$

Short Answer

Expert verified

The limit is $- 1$ .

Step by step solution

Step 1. Given Information

We are given a function $f (x) = \frac{1}{x}$ and we need to graph the function and find $\lim_{x \to - 1} f (x)$ .

Step 2. Plotting the graph

So, the graph of the function $f (x) = \frac{1}{x}$ is

Step 3. Finding the limit

To find the value of $\lim_{x \to - 1} f (x)$ we need to find the value of the function at $x = - 1$ .

$f (x) = \frac{1}{x} \Rightarrow f (- 1) = \frac{1}{x} \Rightarrow f (- 1) = - 1 ∴ \lim_{x \to - 1} f (x) = - 1$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Graph each function. Use the graph to find the indicated limit, if it exists.
$\lim_{x \to - 1} f (x), f (x) = \frac{1}{x}$

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

Logic and Functions

Mechanics Maths

Calculus

Applied Mathematics

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

Graph each function. Use the graph to find the indicated limit, if it exists.limx→-1f(x),f(x)=1x

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

Logic and Functions

Mechanics Maths

Calculus

Applied Mathematics

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

Graph each function. Use the graph to find the indicated limit, if it exists.
$\lim_{x \to - 1} f (x), f (x) = \frac{1}{x}$