Explanation Given: The function is given as f ( x ) = x − 5 x − 25 . Calculation: The value of lim x → 25 x − 5 x − 25 can be found out by the application of the polynomial limit, which is lim x → a f ( x ) = f ( a ) . Here, the quotient rule cannot be applied as lim x → 25 x − 25 = 0 , thus an irregularity is created in the limit. In this, the value of x shall be replaced by the limit that is 25. Convert the limit into a simpler form to remove the irregularity. lim x → 25 x − 5 x − 25 = lim x → 25 x − 5 ( x − 25 )

Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)

12th Edition

ISBN: 9780134767628

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

Publisher: PEARSON

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Chapter 11.1, Problem 49E

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To calculate: The value of limit, limx→25x−5x−25.

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Chapter 11.1, Problem 48E

Chapter 11.1, Problem 50E

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Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)

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The value of limit, lim x → 25 x − 5 x − 25 .

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