Explanation Given : The function is lim x → ∞ ( x + 3 x 3 − 2 x ) . Calculation: Apply the limit in the function as follows: lim x → ∞ ( x + 3 x 3 − 2 x ) = ∞ + 3 ∞ 3 − 2 ∞ = ∞ ∞ Apply L’Hopital’s rule in the limit of the function as follows: lim x → ∞ ( x + 3 x 3 − 2 x ) = lim x → ∞ ( d d x ( x + 3 x ) d d x ( 3 − 2 x ) ) = lim x → ∞ ( 1 + 3 x log 3

14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

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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 3.6, Problem 26S

To determine

To find: The limit of function limx→∞(x+3x3−2x) .

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Chapter 3.6, Problem 25S

Chapter 3.6, Problem 27S

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The limit of function lim x → ∞ ( x + 3 x 3 − 2 x ) .

Solution Summary: The author explains L'Hopital's rule in the limit of the function as follows: cundersetx

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To find: The limit of function limx→∞(x+3x3−2x) .

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Chapter 3 Solutions