Explanation Given information: Equation: lim x → 2 f ( x ) = 5 Calculation: The limit lim x → 2 f ( x ) = 5 means that for x ≠ 2 the value of f ( x ) can be made as close to 5 as one demands but not necessarily equal provided x is sufficiently close to 2 Yes, it is possible for the above statement to be true and yet f ( 2 ) = 3

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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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 2.3, Problem 1E

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To explain: meaning of limx→2f(x)=5 and f(2)=3 .

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Chapter 2.2, Problem 37E

Chapter 2.3, Problem 2E

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meaning of lim x → 2 f ( x ) = 5 and f ( 2 ) = 3 .

Solution Summary: The author explains the meaning of undersetxto 2limf(x-)=5, which can be made as close to 5 as one demands but not necessarily equal

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To explain: meaning of limx→2f(x)=5 and f(2)=3 .

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Chapter 2 Solutions