Explanation Given information : f ( x ) = x sin x o n ( 0 , π ) Concept Involved: For functions involving trigonometric ratios, we can create table of values in the interval given and find corresponding height to check whether given function is continuous x f ( x ) = x sin x ( x , f ( x ) ) 0 f ( 0 ) = 0 ⋅ sin ( 0 ) = 0 ( 0 , 0 ) π 6 f ( π 6 ) = π 6 ⋅ sin ( π 6 ) = π 6 ⋅ 1 2 = π 12 ( π 6 , π 12 )

6th Edition

ISBN: 9781465208880

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

Publisher: Kendall Hunt Publishing

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Chapter 2.3, Problem 31PS

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Todescribe:whether the given function is continuous in the given interval.

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Chapter 2.3, Problem 30PS

Chapter 2.3, Problem 32PS

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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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Todescribe :whether the given function is continuous in the given interval.

Solution Summary: The author explains that the graph of the function helps us visualize the input values.

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Todescribe:whether the given function is continuous in the given interval.

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Chapter 2 Solutions