Explanation Given: The given limit is lim x → 0 + cos x Concept Used: The limit lim x → c − f ( x ) is equals to L, if the number f ( x ) can be made close to L as we please by choosing x sufficiently close to c on an interval ( b , c ) immediately to the left of c. Calculation: In order to evaluate the limit lim x → 0 + cos x Let’s form a table of values of f ( x ) = cos x , choosing values of x sufficiently close to 0, say 0.2 , 0.1 , 0.01 , and 0.001 on interval ( 0 , b ) for any positive real value b Since, f ( 0.1 ) = cos ( 0.1 ) = 0 .995 , f ( 0

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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Chapter 2.1, Problem 20PS

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To evaluate the given limit limx→0+cosx .

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Chapter 2.1, Problem 19PS

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Chapter 2 Solutions

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

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To evaluate the given limit lim x → 0 + cos x .

Solution Summary: The author explains how to evaluate the given limit limx0+cosx if the number f(x) can be made close to L.

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To evaluate the given limit limx→0+cosx .

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Chapter 2 Solutions