# Complete the tables and determine the values as x gets closer and closer to 3 .

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.4, Problem 103E
To determine

## Complete the tables and determine the values as x gets closer and closer to 3 .

Expert Solution

xx29x32.85.82.95.92.055.952.995.992.9995.999

xx29x33.26.23.16.13.056.053.016.013.0016.001

### Explanation of Solution

Calculation:

Here we have the limiting behavior of a rational number for table 1 :

xx29x32.85.82.95.92.055.952.995.992.9995.999

Now, here we observed that:

x29x3=x+3

Now, similarly we will take table 2 :

xx29x33.26.23.16.13.056.053.016.013.0016.001

Hence, we have observed from both the tables that x approaches from the left side of 3 in the first table, x29x3 approaches 6 from the left side. In second table x approaches from the right side of 3 , x29x3 approaches 6 from the right side.

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