Explanation Given information : The statement “If g ( x ) = x 5 then, lim x → 2 g ( x ) − g ( 2 ) x − 2 = 80 .” Consider the provided statement “If g ( x ) = x 5 then, lim x → 2 g ( x ) − g ( 2 ) x − 2 = 80 .” Recall the formula for differentiating a function in terms of limit, that derivative of a function m ( x ) at a point c is, lim x → c m ( x ) − m ( c ) x − c = m ' ( c ) For the provided function g ( x ) = x 5 , the derivative formula is lim x → 2 g ( x ) − g ( 2 ) x − 2

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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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 13TFQ

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To find: Whether the statement “If g(x)=x5 then, limx→2g(x)−g(2)x−2=80 .” is true or false.

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Chapter 3, Problem 12TFQ

Chapter 3, Problem 14TFQ

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Chapter 3 Solutions

Biocalculus

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Whether the statement “If g ( x ) = x 5 then, lim x → 2 g ( x ) − g ( 2 ) x − 2 = 80 .” is true or false.

Solution Summary: The author analyzes whether the statement "If g(x)=x 5 is true or false, and compares it with the general formula.

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To find: Whether the statement “If g(x)=x5 then, limx→2g(x)−g(2)x−2=80 .” is true or false.

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Chapter 3 Solutions