Determine limxl12 1 x 3 2 1 and limxl11 1 x 3 2 1 (a) by evaluating fsxd 1ysx 3 2 1d for

Chapter 2, Problem 45

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QUESTION:

Determine limxl12 1 x 3 2 1 and limxl11 1 x 3 2 1 (a) by evaluating fsxd 1ysx 3 2 1d for values of x that approach 1 from the left and from the right, (b) by reasoning as in Example 9, and (c) from a graph of f.

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QUESTION:

Determine limxl12 1 x 3 2 1 and limxl11 1 x 3 2 1 (a) by evaluating fsxd 1ysx 3 2 1d for values of x that approach 1 from the left and from the right, (b) by reasoning as in Example 9, and (c) from a graph of f.

ANSWER:

Problem 45

Determine and

(a) By evaluating  for values of x that approach 1 from the left and from the right.

(b) by reasoning as in Example 9, and

(c) from a graph of f.

                                                               Step by Step Solution

Step 1 of 5

(a)

Make a table for the function as shown below:

Table for is given below:

x

f(x)

2

0.14285

1.5

0.421053

1.2

1.37362

1.1

3.02115

1.05

6.34417

1.01

33.0022

1.001

333.00022

Table for  is given below:

x

f(x)

0

-1

0.1

-1.001

0.5

-1.142857

0.9

-3.690037

0.95

-7.011394

0.995

-33.6689

0.999

-333.666889

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