Explanation Given: The given statement is “If lim x → c ln ( f ( x ) ) = L , then lim x → c f ( x ) = _ .” Concept Used: ln x = c ⇔ x = e c Relation between the limit of a function and the limit of its logarithm: If lim x → c ln ( f ( x ) ) = L , then lim x → c f ( x ) = e L . Calculation: To fill the blank to complete the given statement use the formula ln x = c ⇔ x = e c According to this if lim x → c

5th Edition

ISBN: 9781429241861

Author: Laura Taalman, Peter Kohn

Publisher: W. H. Freeman

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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 3, Problem 12T

To determine

To fill the blank to complete the given statement:

“If limx→cln(f(x))=L , then limx→cf(x)= _ .”

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Chapter 3, Problem 11T

Chapter 3, Problem 13T

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Chapter 3 Solutions

Calculus

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To fill the blank to complete the given statement: “If lim x → c ln ( f ( x ) ) = L , then lim x → c f ( x ) = _ .”

Solution Summary: The author explains the formula mathrmlnx =ciff x=ec

Concept explainers

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To fill the blank to complete the given statement:

“If limx→cln(f(x))=L , then limx→cf(x)= _ .”

Want to see the full answer?

Chapter 3 Solutions

To fill the blank to complete the given statement: “If lim x → c ln ( f ( x ) ) = L , then lim x → c f ( x ) = _ .”

Solution Summary: The author explains the formula mathrmlnx =ciff x=ec

Concept explainers

Videos

To fill the blank to complete the given statement: “If limx→cln(f(x))=L , then limx→cf(x)= _ .”

Want to see the full answer?

Chapter 3 Solutions

To fill the blank to complete the given statement:

“If limx→cln(f(x))=L , then limx→cf(x)= _ .”