To determine To calculate: The value of limit, lim x → 4 f ( x ) . Explanation Given: The function is f ( x ) = − 6 ( x − 4 ) 2 . Formula used: lim x → a f ( x ) = f ( a ) Calculation: The value of lim x → 4 − 6 ( x − 4 ) 2 can’t be found out by application of the polynomial limit which is, lim x → a f ( x ) = f ( a ) The quotient rule cannot be applied as lim x → 4 x − 4 = 0 , an irregularity is created in the limit. First, try to convert the limit into a simpler form to remove the irregularity. lim x → 4 − 6 ( x − 4 ) 2 = lim x → 4 − 6 ( x − 4 ) ( x − 4 ) As this function cannot be solved further, thus the limit will give the value ∞ after application of polynomial limit rule

Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)

11th Edition

ISBN: 9780321931078

Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

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Chapter 11.1, Problem 45E

To determine

To calculate: The value of limit, limx→4f(x).

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Chapter 11.1, Problem 44E

Chapter 11.1, Problem 46E

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Chapter 11 Solutions

Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)

Ch. 11.1 - Checkpoint 1 Use a calculator to estimate by...Ch. 11.1 - Checkpoint 2 If , find the given...Ch. 11.1 - Prob. 3CP Ch. 11.1 - Checkpoint 4 Find the given limits. (a) (b) Ch. 11.1 - Checkpoint 5 Find Ch. 11.1 - Checkpoint 6 Find the given limits. (a) (b) Ch. 11.1 - Checkpoint 7 Let Find the given...Ch. 11.1 - Use the given graph to determine the value of the...Ch. 11.1 - Use the given graph to determine the value of the...Ch. 11.1 - Use the given graph to determine the value of the...

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