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Calculus
8. Show lim tanh x =1 X→∞

8. Show lim tanh x =1 X→∞

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
The image contains a mathematical expression related to calculus and hyperbolic functions. The text is as follows: 8. Show \(\lim_{{x \to \infty}} \tanh x = 1\) Explanation: This problem requires you to demonstrate that the limit of the hyperbolic tangent function, \(\tanh x\), approaches 1 as \(x\) approaches infinity. In mathematical terms, it asks for the proof of the asymptotic behavior of the hyperbolic tangent function at positive infinity.
Transcribed Image Text:The image contains a mathematical expression related to calculus and hyperbolic functions. The text is as follows: 8. Show \(\lim_{{x \to \infty}} \tanh x = 1\) Explanation: This problem requires you to demonstrate that the limit of the hyperbolic tangent function, \(\tanh x\), approaches 1 as \(x\) approaches infinity. In mathematical terms, it asks for the proof of the asymptotic behavior of the hyperbolic tangent function at positive infinity.
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