Chapter 14: Q. 90 (page 890)

Create a function that is not continuous at the number $5 .$

Short Answer

Expert verified

The function that is not continuous at the number $5 is f (x) = \frac{1}{x - 5} .$

Step by step solution

Step 1. Given Information

A discontinuous function is defined as a function that has a point where the function is not defined or the left-hand limit and right-hand limit exist but not are equal.

Step 2. Creating a function

To create a function that is not continuous at $5$ , we will create a function that is not defined at $x = 5$

So, the function is $f (x) = \frac{1}{x - 5}$ because at $x = 5$ the function is not defined.

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Create a function that is not continuous at the number $5 .$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Creating a function

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Create a function that is not continuous at the number5.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Creating a function

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Decision Maths

Calculus

Statistics

Applied Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

Create a function that is not continuous at the number $5 .$