Explanation Given information: f ( n ) = ( 1 + 1 n ) n 2 Formula used: First we make a label of values of f ( x ) for larger and larger values of n . Calculation: Given that f ( x ) = ( 1 + 1 n ) n 2 First we make a label of values of f ( x ) for larger and larger values of n . The following table and graphs suggest that as n gets larger ( 1 + 1 n ) n 2 approaches ∞ . n ( 1 + 1 n ) n 2 10 13780

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…

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Chapter 1.5, Problem 15E

To determine

Investigate the behavior of the function as n or x grows large by making a table of functions values and plotting a graph. Describe the behavior in words.

f(n)=(1+1n)n2

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Chapter 1.5, Problem 14E

Chapter 1.5, Problem 16E

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Chapter 1 Solutions

Calculus - Standalone book

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Investigate the behavior of the function as n or x grows large by making a table of functions values and plotting a graph. Describe the behavior in words. f ( n ) = ( 1 + 1 n ) n 2

Solution Summary: The author analyzes the behavior of the function as norx grows large.

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Investigate the behavior of the function as n or x grows large by making a table of functions values and plotting a graph. Describe the behavior in words.

f(n)=(1+1n)n2

Want to see the full answer?

Chapter 1 Solutions

Investigate the behavior of the function as n or x grows large by making a table of functions values and plotting a graph. Describe the behavior in words. f ( n ) = ( 1 + 1 n ) n 2

Solution Summary: The author analyzes the behavior of the function as norx grows large.

Concept explainers

Videos

Investigate the behavior of the function as n or x grows large by making a table of functions values and plotting a graph. Describe the behavior in words. f(n)=(1+1n)n2

Want to see the full answer?

Chapter 1 Solutions

Investigate the behavior of the function as n or x grows large by making a table of functions values and plotting a graph. Describe the behavior in words.

f(n)=(1+1n)n2