Explanation Given: lim x → ∞ x 300 ln x Concept Used: L'Hopital's Rule: If f and g are differentiable functions and g ( x ) is nonzero, and if lim x → c f ( x ) g ( x ) is of the indeterminate form, then lim x → c f ( x ) g ( x ) = lim x → c f ′ ( x ) g ′ ( x ) Calculation: To evaluate the limit lim x → ∞ x 300 ln x First try using the quotient rule of limits, as lim x → ∞ x 300 ln x = lim x → ∞ ( x ) lim x → ∞ ( 300 ln x

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 77S

To determine

To find the limit (if it exists)

limx→∞x300lnx

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Chapter 3.6, Problem 76S

Chapter 3.6, Problem 78S

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Chapter 3 Solutions

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