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
Answer to at least three decimal places.
![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 \(\frac{0}{0}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54e8c682-be67-4ef0-bd1d-cf8b2e543b76%2F8c51a96b-a369-4845-bf6b-a7cdc71d6fb9%2Foinjb5t_processed.png&w=3840&q=75)
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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