You will find a graphing calculator usefulLet

Chapter 2, Problem 68E

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QUESTION:

PROBLEM 68E

You will find a graphing calculator useful

Let

a. Make a table of the values of ƒ at the points x = 1.4, 1.41, 1.414, and so on through successive decimal approximations of

b. Support your conclusions in part (a) by graphing ƒ near x0 =  and using Zoom and Trace to estimate y-values on the graph as x →

Questions & Answers

QUESTION:

PROBLEM 68E

You will find a graphing calculator useful

Let

a. Make a table of the values of ƒ at the points x = 1.4, 1.41, 1.414, and so on through successive decimal approximations of

b. Support your conclusions in part (a) by graphing ƒ near x0 =  and using Zoom and Trace to estimate y-values on the graph as x →

ANSWER:

Solution

Step 1 of 3

In this problem we have to make the table of and also draw the graph of as

Given that


(a)

The table of the function is

Value of x

1.4

2.8142136

1.41

2.8242136

1.414

2.8282136

1.4141

2.8283136

1.41414

2.8283536

1.414141

2.8283546

x approaches then approaches 2and

Discontinues at


 

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