# To complete the given table. To find the nth root of 2 as n gets larger. The nth root of 1 2 . To construct a table for n 1 n . To find the n th root of n as n gets larger.

### 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 1.2, Problem 105E
To determine

## To complete the given table. To find the nth root of 2 as n gets larger. The nth root of 12 .To construct a table for n1n . To find the n th root of n as n gets larger.

Expert Solution

### Explanation of Solution

Given information:

Given table,

 n 21/n 1 2 5 10 100
 n (12)1/n 1 2 5 10 100

Calculation:

Let the given table and fill the root values as follows:

 n 21/n 1 2 2 1.414 5 1.1486 10 1.0717 100 1.0069

In the above table said that n th root of 2 value is decreases when n gets large.

 n (12)1/n 1 0.5 2 0.7071 5 0.8705 10 0.93303 100 0.93309

In the above table said that 1n th root of 12 value is increase when n gets large.

 n (n)1n 1 1 2 1.4142 5 1.3797 10 1.2589 100 1.0471

In the above table said that n th root of 1n value is decrease when n gets large.

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