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Chapter 14: Q. 90 (page 890)

Create a function that is not continuous at the number5.

Short Answer

Expert verified

The function that is not continuous at the number5isf(x)=1x-5.

Step by step solution

01

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.

02

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)=1x-5because at x=5 the function is not defined.

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