Explanation It may happen in many examples that c is in the domain of a function f , but lim x

Mylab Math With Pearson Etext -- Standalone Access Card -- For Precalculus (11th Edition)

11th Edition

ISBN: 9780135189795

Author: Michael Sullivan

Publisher: PEARSON

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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 14.1, Problem 6AYU

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Check whether the given statement is true or false: $\lim_{x \to c} f (x)$ exists and equals some number for any function $f$ as long as $c$ is in the domain of $f$ .

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Chapter 14.1, Problem 5AYU

Chapter 14.1, Problem 7AYU

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Chapter 14 Solutions

Mylab Math With Pearson Etext -- Standalone Access Card -- For Precalculus (11th Edition)

Ch. 14.1 - Graph f( x )={ 3x2ifx2 3ifx=2 (pp.100-102)Ch. 14.1 - Prob. 2AYU Ch. 14.1 - Prob. 3AYU Ch. 14.1 - Prob. 4AYU Ch. 14.1 - True or False lim xc f( x )=N may be described by...Ch. 14.1 - Prob. 6AYU Ch. 14.1 - lim x2 ( 4 x 3 )Ch. 14.1 - lim x3 ( 2 x 2 +1 )Ch. 14.1 - lim x0 x+1 x 2 +1 Ch. 14.1 - Prob. 10AYU

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Check whether the given statement is true or false: lim x → c f ( x ) exists and equals some number for any function f as long as c is in the domain of f .

Solution Summary: The author explains that lim x c f (x) exists and equals some number for any function, but it does not exist, so the given statement is false.

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Check whether the given statement is true or false: $\lim_{x \to c} f (x)$ exists and equals some number for any function $f$ as long as $c$ is in the domain of $f$ .

Want to see the full answer?

Chapter 14 Solutions

Additional Math Textbook Solutions

Check whether the given statement is true or false: lim x → c f ( x ) exists and equals some number for any function f as long as c is in the domain of f .

Solution Summary: The author explains that lim x c f (x) exists and equals some number for any function, but it does not exist, so the given statement is false.

Concept explainers

Videos

Check whether the given statement is true or false: lim x → c f( x ) exists and equals some number for any function f as long as c is in the domain of f .

Want to see the full answer?

Chapter 14 Solutions

Additional Math Textbook Solutions

Check whether the given statement is true or false: $\lim_{x \to c} f (x)$ exists and equals some number for any function $f$ as long as $c$ is in the domain of $f$ .