Explanation Given information: lim x → 1 x 3 − 1 x − 1 Calculation: lim x → 1 x 3 − 1 x − 1 = lim x → 1 x 1 3 − 1 x 1 2 − 1 ( 0 0 form ) Using L-Hospital rule

Calculus

6th Edition

ISBN: 9781465208880

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 2.1, Problem 34PS

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To calculate:The limit limx → 1x3−1x−1 .

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Chapter 2.1, Problem 33PS

Chapter 2.1, Problem 35PS

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Chapter 2 Solutions

Calculus

Ch. 2.1 - Prob. 1PS Ch. 2.1 - Prob. 2PS Ch. 2.1 - Prob. 3PS Ch. 2.1 - Prob. 4PS Ch. 2.1 - Prob. 5PS Ch. 2.1 - Prob. 6PS Ch. 2.1 - Prob. 7PS Ch. 2.1 - Prob. 8PS Ch. 2.1 - Prob. 9PS Ch. 2.1 - Prob. 10PS

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The limit lim x → 1 x 3 − 1 x − 1 .

Solution Summary: The author calculates the given limit of approx 0.67 using the L-Hospital rule.

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To calculate:The limit limx → 1x3−1x−1 .

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Chapter 2 Solutions