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: 9781319055905

Author: FRANZOSA

Publisher: VST

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Question

Chapter 2.3, Problem 30E

To determine

Find the limit of the function $\lim_{x \to - 4} (2 f (x) + 3 g (x))$ if $\lim_{x \to - 4} f (x) = 3 and \lim_{x \to - 4} g (x) = 1$ .

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Chapter 2.3, Problem 29E

Chapter 2.3, Problem 31E

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Chapter 2 Solutions

EBK CALCULUS: EARLY TRANSCENDENTALS

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Knowledge Booster

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 .

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

Find the limit of the function $\lim_{x \to - 4} (2 f (x) + 3 g (x))$ if $\lim_{x \to - 4} f (x) = 3 and \lim_{x \to - 4} g (x) = 1$ .