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
![**Problem: Find the Limit**
Evaluate the limit as \( x \) approaches 0:
\[
\lim_{x \to 0} \left( 1 + \frac{4}{x^3} \right)^x
\]
This problem involves finding the limit of an expression where the base is a combination of a constant and a rational function, raised to the power of \( x \). The challenge is to determine the behavior of the expression as \( x \) approaches 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6811bcd-02f8-46fa-b044-8f44b9c4930d%2F73aa1300-9f15-42db-ac53-8187dbc4efff%2Fg2wnck7.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem: Find the Limit**
Evaluate the limit as \( x \) approaches 0:
\[
\lim_{x \to 0} \left( 1 + \frac{4}{x^3} \right)^x
\]
This problem involves finding the limit of an expression where the base is a combination of a constant and a rational function, raised to the power of \( x \). The challenge is to determine the behavior of the expression as \( x \) approaches 0.
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