BuyFind

Precalculus: Mathematics for Calcu...

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

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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