Explanation Given information: The limit is lim x → ∞ [ 1 x ⋅ a x − 1 a − 1 ] 1 x where a > 0 . Calculation: Consider the limit, lim x → ∞ [ 1 x ⋅ a x − 1 a − 1 ] 1 x where a > 0 Then, lim x → ∞ [ 1 x ⋅ a x − 1 a − 1 ] 1 x = e 1 x ln [ 1 x ⋅ a x "

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Concept explainers

Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0…

Question

Chapter 2, Problem 99SP

To determine

The evaluation of given limit.

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Chapter 2, Problem 98SP

Chapter 3.1, Problem 1PS

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Chapter 2 Solutions

Calculus

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The evaluation of given limit.

Solution Summary: The author evaluates a given limit using l1, , and .

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The evaluation of given limit.

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Chapter 2 Solutions