Explanation Given: f ( x ) = { 2 ( x + 1 ) if x < 3 4 if x = 3 x 2 − 1 if x > 3 Since f ( x ) = 2 ( x + 1 ) f o r x < 3 hence we will take only function f ( x ) = 2 ( x + 1 ) when x approach 2 from the left or from the right. Hence lim x → 2 f ( x ) = lim x → 2 2 ( x + 1 ) Apply limit

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

6th Edition

ISBN: 9781524908102

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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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 2.2, Problem 54PS

To determine

To find: limx→2f(x) for the given function.

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Chapter 2.2, Problem 53PS

Chapter 2.2, Problem 55PS

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Chapter 2 Solutions

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

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lim x → 2 f ( x ) for the given function.

Solution Summary: The author explains the value of undersetxto 2mathrmlimf(x) for the given function.

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Chapter 2 Solutions