Mathematical Applications for the Management, Life, and Social Sciences

12th Edition

ISBN: 9781337625340

Author: Ronald J. Harshbarger, James J. Reynolds

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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Textbook Question

Chapter 9.2, Problem 8E

In Problems 3-8, determine whether each function is continuous or discontinuous at the given x-value. Examine the three conditions in the definition of continuity.

f ( x ) = { x 2 + 1 if x ≤ 1 2 x 2 − 1 if x > 1 , x = 1

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Chapter 9.2, Problem 7E

Chapter 9.2, Problem 9E

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Chapter 9 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

Ch. 9.1 - 1. Can exist if is undefined? Ch. 9.1 - 2. Does exist if ? Ch. 9.1 - 3. Does Ch. 9.1 - 4. If , does exist? Ch. 9.1 - 5. Let (a) Does (b) Find . Ch. 9.1 - 6. Evaluate the following limits (if they...Ch. 9.1 - Prob. 7CP Ch. 9.1 - Prob. 8CP Ch. 9.1 - Prob. 9CP Ch. 9.1 - Prob. 10CP

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In Problems 3-8, determine whether each function is continuous or discontinuous at the given x -value. Examine the three conditions in the definition of continuity. f ( x ) = { x 2 + 1 if x ≤ 1 2 x 2 − 1 if x > 1 , x = 1

Solution Summary: The author explains that the provided function is continuous or discontinuous at x=1 if all the three conditions are satisfied.

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Chapter 9 Solutions

In Problems 3-8, determine whether each function is continuous or discontinuous at the given x -value. Examine the three conditions in the definition of continuity. f ( x ) = { x 2 + 1 if x ≤ 1 2 x 2 − 1 if x &gt; 1 , x = 1

Solution Summary: The author explains that the provided function is continuous or discontinuous at x=1 if all the three conditions are satisfied.

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Chapter 9 Solutions

In Problems 3-8, determine whether each function is continuous or discontinuous at the given x -value. Examine the three conditions in the definition of continuity. f ( x ) = { x 2 + 1 if x ≤ 1 2 x 2 − 1 if x > 1 , x = 1