Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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The image shows a mathematical expression for evaluating the limit as \( x \) approaches 0: \[ \lim_{{x \to 0}} \frac{{6^{4x} - 1}}{x} \] This represents a limit problem common in calculus, often requiring techniques such as L'Hôpital's Rule or series expansion for evaluation when direct substitution results in an indeterminate form like \(\frac{0}{0}\).
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Transcribed Image Text:The image shows a mathematical expression for evaluating the limit as \( x \) approaches 0: \[ \lim_{{x \to 0}} \frac{{6^{4x} - 1}}{x} \] This represents a limit problem common in calculus, often requiring techniques such as L'Hôpital's Rule or series expansion for evaluation when direct substitution results in an indeterminate form like \(\frac{0}{0}\).
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