Explanation Given: The given limit is lim x → 2 − ( 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 → 2 − ( x 2 − 4 ) . Let’s form a table of values of f ( x ) = x 2 − 4 , choosing values of x sufficiently close to 2, say 1.9 , 1.99 , 1 .999 , and 1 .9999 on interval ( 0 , b ) for any positive real value b. Since, f ( 1 .9 ) = ( 1 .9 ) 2 − 4 = 3 .61 − 4 = − 0 .39 , f ( 1 .99 ) = ( 1 .99 ) 2 − 4 = 3 .9601 − 4 = − 0 .0399 and f ( 1

7th Edition

ISBN: 9781524916817

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→2−(x2−4) .

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Chapter 2.1, Problem 19PS

Chapter 2.1, Problem 21PS

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Chapter 2 Solutions

Calculus

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

Solution Summary: The author explains that the given limit limxcf(x) is equal to L, if x is sufficiently close to c on an interval (b,c).

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To evaluate the given limit limx→2−(x2−4) .

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Chapter 2 Solutions