lim (7x² + 1)x. X→∞

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...
Question
The expression shown is a mathematical limit:

\[ \lim_{{x \to \infty}} (7x^2 + 1)^{\frac{1}{x}} \]

This represents the limit of the expression \((7x^2 + 1)^{\frac{1}{x}}\) as \(x\) approaches infinity. The goal is to determine the behavior or value of this expression for very large values of \(x\).
Transcribed Image Text:The expression shown is a mathematical limit: \[ \lim_{{x \to \infty}} (7x^2 + 1)^{\frac{1}{x}} \] This represents the limit of the expression \((7x^2 + 1)^{\frac{1}{x}}\) as \(x\) approaches infinity. The goal is to determine the behavior or value of this expression for very large values of \(x\).
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