97. DISCOVER: Limiting Behavior of Powers Complete the fol- lowing tables. What happens to the nth root of 2 as n gets large? What about the nth root of ? 1 1 2 2 5 5 10 10 100 100 Construct a similar table for n'". What happens to the nth root of n as n gets large?
97. DISCOVER: Limiting Behavior of Powers Complete the fol- lowing tables. What happens to the nth root of 2 as n gets large? What about the nth root of ? 1 1 2 2 5 5 10 10 100 100 Construct a similar table for n'". What happens to the nth root of n as n gets large?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 37E
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Question
DISCOVER: Limiting Behavior of Powers Complete the following tables. What happens to the nth root of 2 as n gets
large? What about the nth root of 1
2 ?
n A
1
2 B
1/n
1
2
5
10
100
n 21/n
1
2
5
10
100
Construct a similar table for n1/n
. What happens to the nth
root of n as n gets large?
![97. DISCOVER: Limiting Behavior of Powers Complete the fol-
lowing tables. What happens to the nth root of 2 as n gets
large? What about the nth root of ?
1
1
2
2
5
5
10
10
100
100
Construct a similar table for n'". What happens to the nth
root of n as n gets large?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc27eeb11-ef4a-4a6c-afec-e7ee9977dc1f%2F20b1114f-a02e-4b7a-96e4-f8f5ee9dce4c%2Fsydt3fh_processed.png&w=3840&q=75)
Transcribed Image Text:97. DISCOVER: Limiting Behavior of Powers Complete the fol-
lowing tables. What happens to the nth root of 2 as n gets
large? What about the nth root of ?
1
1
2
2
5
5
10
10
100
100
Construct a similar table for n'". What happens to the nth
root of n as n gets large?
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