Explanation Given information : The statement “ lim x → 4 ( 2 x x − 4 − 8 x − 4 ) = lim x → 4 2 x x − 4 − lim x → 4 8 x − 4 .” Consider the provided statement “ lim x → 4 ( 2 x x − 4 − 8 x − 4 ) = lim x → 4 2 x x − 4 − lim x → 4 8 x − 4 .” Recall the subtraction of two limits is limit of the subtraction that is above expression can be written as, lim x → 4 ( 2 x x − 4 − 8 x − 4 ) = lim x → 4 2 x x − 4 − lim x → 4 8 x − 4 Recall the quotient law of limits, which is given two functions m ( x ) and n ( x ) the quotient of limit as x tends to k of the individual function is equal to limit of the quotient provided that limit of the denominator is not zero. That is, lim x → k m ( x ) n ( x ) = lim x → k m ( x ) lim x → k n ( x )

15th Edition

ISBN: 9781305420878

Author: Stewart

Publisher: CENGAGE L

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Question

Chapter 2, Problem 3TFQ

To determine

To find: Whether the statement “ limx→4(2xx−4−8x−4)=limx→42xx−4−limx→48x−4 .” is true or false.

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Chapter 2, Problem 2TFQ

Chapter 2, Problem 4TFQ

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Chapter 2 Solutions

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Knowledge Booster

Whether the statement “ lim x → 4 ( 2 x x − 4 − 8 x − 4 ) = lim x → 4 2 x x − 4 − lim x → 4 8 x − 4 .” is true or false.

Solution Summary: The author analyzes whether the statement " undersetxto 4mathrmlim(2x

To find: Whether the statement “ limx→4(2xx−4−8x−4)=limx→42xx−4−limx→48x−4 .” is true or false.

Want to see the full answer?

Chapter 2 Solutions