Explanation Given: The value of lim x → − 4 f ( x ) = 3 and lim x → − 4 g ( x ) = 1 . Formula used: The sum law: If lim x → c f ( x ) and lim x → c g ( x ) both exists, then lim x → c ( f ( x ) + g ( x ) ) = lim x → c f ( x ) + lim x → c g ( x ) The multiple law: If lim x → c f ( x ) and lim x → c g ( x ) both exists, then lim x → c a f ( x ) = a lim x → c f ( x ) Calculation: We have to find the value of lim x → − 4 ( 2 f ( x ) + 3 g ( x ) ) . Use the sum law: lim x → c ( f ( x ) + g ( x ) ) = lim x → c f ( x ) + lim x → c g ( x ) lim x → − 4

4th Edition

ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…

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Chapter 2.3, Problem 30E

To determine

Find the limit of the function limx→−4(2f(x)+3g(x)) if limx→−4f(x)=3 and limx→−4g(x)=1.

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Chapter 2.3, Problem 29E

Chapter 2.3, Problem 31E

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2. If it exists, find lim f(x) where X--1 x =-1 f(x) = { *x– 1)³, x+-1 4, If the limit does not exist, explain.

Chapter 2 Solutions

CALCULUS W/SAPLING ACCESS >IC<

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Find the limit of the function lim x → − 4 ( 2 f ( x ) + 3 g ( x ) ) if lim x → − 4 f ( x ) = 3 and lim x → − 4 g ( x ) = 1 .

Solution Summary: The author explains how to determine the value of the function undersetxto -4mathrmlim(x-) if it is 9.

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Find the limit of the function limx→−4(2f(x)+3g(x)) if limx→−4f(x)=3 and limx→−4g(x)=1.

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Chapter 2 Solutions