   Chapter 10.3, Problem 80E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 75-88, identify all singular points of discontinuity of the given function, [HINT: See Example 3.] f ( x ) = { 2 x − 1      if  x < 1 − 2 x + 3     if  x > 1

To determine

To calculate: The singular points and points of discontinuity of the function f(x)={2x1    if x<12x+3  if x>1.

Explanation

Given Information:

The function is f(x)={2x1    if x<12x+3  if x>1.

Formula used:

The function is discontinuous at point x=a, if either,

a) The limit limxaf(x) does not exist or

b) The limit limxaf(x) does exist but it’s not equal to f(a).

Where, ‘ a ’ is any real number.

Calculation:

Consider the function f(x)={2x1    if x<12x+3  if x>1.

At x=1, the function changes from one closed-form to another

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