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Find the limit as a number, ∞o, or -∞o. Otherwise enter DNE. lim [√(√An+1 = √an)] = [ 4n n→ ∞o

Find the limit as a number, ∞o, or -∞o. Otherwise enter DNE. lim [√(√An+1 = √an)] = [ 4n n→ ∞o

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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**Problem Statement:** Find the limit as a number, \( \infty \), or \( -\infty \). Otherwise, enter DNE (Does Not Exist). \[ \lim_{n \to \infty} \left[ \sqrt{n} \left( \sqrt{4n+1} - \sqrt{4n} \right) \right] = \square \] **Instructions:** - Compute the limit by simplifying the expression. - If the limit is a real number, express it as such. - If the limit tends towards infinity or negative infinity, use \( \infty \) or \( -\infty \) accordingly. - If the limit does not exist, indicate so with DNE.
Transcribed Image Text:**Problem Statement:** Find the limit as a number, \( \infty \), or \( -\infty \). Otherwise, enter DNE (Does Not Exist). \[ \lim_{n \to \infty} \left[ \sqrt{n} \left( \sqrt{4n+1} - \sqrt{4n} \right) \right] = \square \] **Instructions:** - Compute the limit by simplifying the expression. - If the limit is a real number, express it as such. - If the limit tends towards infinity or negative infinity, use \( \infty \) or \( -\infty \) accordingly. - If the limit does not exist, indicate so with DNE.
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