   Chapter 10.2, Problem 31E 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 25–32, use a graph of f or some other method to determine what, if any, value to assign to f ( a ) to make f continuous at x = a . [HINT: See Example 2.] f ( x ) = 1 − e x x ; a = 0

To determine

To calculate: The value that is assign to f(a) such that to make the function f(x)=1exx continuous at a=0 by using the graph of f(x).

Explanation

Given information:

The provided function is f(x)=1exx.

Calculation:

Consider the function, f(x)=1exx

To draw the graph of f(x)=1exx, first compute the value of f(x) for different values of x.

Compute the value of f(x) at x=1 by substituting x=1 in the equation f(x)=1exx as,

f(1)=1e11=12.718=1.718

Compute the value of f(x) at x=3 by substituting x=3 in the equation f(x)=1exx as,

f(3)=1e33=19.0863=6.362

Compute the value of f(x) at x=2 by substituting x=2 in the equation f(x)=1exx as,

f(2)=1e22=0.86472=0.432

Compute the value of f(x) at x=2 by substituting x=2 in the equation f(x)=1exx as,

f(2)=1e22=6

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