Explanation Given: The given limit is lim x → 3 − ( x 2 − 4 ) . 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 → 3 − ( x 2 − 4 ) . Let’s form a table of values of f ( x ) = x 2 − 4 , choosing values of x sufficiently close to 3, say 2.9 , 2.99 , 2. 999 , and 2 .9999 on interval ( 0 , b ) for any positive real value b Since, f ( 2 .9 ) = ( 2 .9 ) 2 − 4 = 8 .41 − 4 = 4.41 , f ( 2 .99 ) = ( 2 .99 ) 2 − 4 = 8 .9401 − 4 = 4 .9401 and f ( 2

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 22PS

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Chapter 2.1, Problem 21PS

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Chapter 2 Solutions

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

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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To evaluate the given limit lim x → 3 − ( x 2 − 4 ) .

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Chapter 2 Solutions