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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640

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BuyFindarrow_forward

Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

In Exercises 45-56, find the values of x for which each function is continuous.

56. f ( x ) = | x 1 | x 1

To determine
The value of x at which the function is continuous.

Explanation

Given information:

The function is,

f(x)=|x1|x1 (1)

Definition used:

A function f is continuous at x=a when it follows the following three conditions,

(1) f(a) is defined.

(2) limxaf(x) exists.

(3) limxaf(x)=f(a) .

Calculation:

For the function to be continuous, it should satisfy all the three conditions.

The given function is a rational function and the denominator x1 of the given function is 0 at x=1

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