a. Explanation Given: Given lim x → ∞ x − 2 ln x Concept Used: x − 2 = 1 x 2 a n d ln x = 1 1 ln x . Calculation: As we have lim x → ∞ x − 2 ln x is in the form of 0 × ∞ . ⇒ lim x → ∞ x − 2 ln x = lim x → ∞ ln x x 2 ∴ b. To determine To rewrite given lim x → ∞ x − 2 ln x in the form of ∞ ∞ . c. To determine To determine which of the indeterminate from would be easier to applying L’Hopital’s Rule among 0 × ∞ , 0 0 , ∞ ∞ .

14th Edition

ISBN: 9781464140051

Author: TAALMAN, Laura, Kohn, Peter

Publisher: W. H. Freeman

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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 9C

To determine

To rewrite given limx→∞ x−2 lnx in the form of 00 .

To determine

To rewrite given limx→∞ x−2 lnx in the form of ∞∞ .

To determine

To determine which of the indeterminate from would be easier to applying L’Hopital’s Rule among 0×∞,00,∞∞ .

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Chapter 3.6, Problem 8C

Chapter 3.6, Problem 10C

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Chapter 3 Solutions

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To rewrite given lim x → ∞ x − 2 ln x in the form of 0 0 .

Solution Summary: The author explains how to rewrite given undersetxto 'infty' mathrmlim.

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To rewrite given limx→∞ x−2 lnx in the form of 00 .

To rewrite given limx→∞ x−2 lnx in the form of ∞∞ .

To determine which of the indeterminate from would be easier to applying L’Hopital’s Rule among 0×∞,00,∞∞ .

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