Explanation Given limit: lim h → 0 ( h − 1 ) 3 + 1 h Solution: By substituting t = 2 , we get 0 0 , so we use factorization method. By using the identity ( a − b ) 3 = a 3 − 3 a 2 b + 3 a b 2 − b 3 , we get lim h → 0 ( h − 1 ) 3 + 1 h = lim h → 0 ( h 3 − 3 h 2 + 3 h − 1 ) + 1 h lim h → 0 ( h − 1 ) 3 + 1 h = lim h

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 2, Problem 17E

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To find : the limit.

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Chapter 2, Problem 16E

Chapter 2, Problem 18E

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Biocalculus

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the limit.

Solution Summary: The author explains how to find the limit by substituting t=2.

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To find : the limit.

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Chapter 2 Solutions