Explanation Given information: The limitis lim x → 0 ( sin 2 x x 3 + a x 2 + b ) = 1 . Calculation: Consider the limit. lim x → 0 ( sin 2 x x 3 + a x 2 + b ) = 1 lim x → 0 ( sin 2 x + a x + b x 3 x 3 ) = 1 Using L’ Hospital rule, lim x → 0 ( 2 cos 2 x + a + 3 b x 2 3 x 2 ) = 1 lim x → 0 ( − 4 sin 2 x + 6 b x 6 x ) <

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 4.5, Problem 55PS

To determine

To find: The value ofa and b.

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Chapter 4.5, Problem 54PS

Chapter 4.5, Problem 56PS

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Chapter 4 Solutions

Calculus

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The value ofa and b.

Solution Summary: The author explains how to find the value of a and b. The limit is undersetxto 0mathrmlimleft.

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Chapter 4 Solutions