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x² + 9 – 3 lim x²

x² + 9 – 3 lim x²

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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Can you show me how to evaluate the limit

This limit problem appears on the educational website under the calculus section, addressing the topic of evaluating limits. --- ### Evaluating Limits Find the limit: \[ \lim_{{x \to 0}} \frac{\sqrt{x^2 + 9} - 3}{x^2} \] To solve this limit, we begin by analyzing the given expression. The goal is to determine the value this expression approaches as \( x \) approaches 0. A common technique may involve algebraic manipulation or applying L'Hôpital's Rule if direct substitution leads to an indeterminate form. By investigating further, we can simplify and solve using appropriate limit-solving strategies in calculus. ---
Transcribed Image Text:This limit problem appears on the educational website under the calculus section, addressing the topic of evaluating limits. --- ### Evaluating Limits Find the limit: \[ \lim_{{x \to 0}} \frac{\sqrt{x^2 + 9} - 3}{x^2} \] To solve this limit, we begin by analyzing the given expression. The goal is to determine the value this expression approaches as \( x \) approaches 0. A common technique may involve algebraic manipulation or applying L'Hôpital's Rule if direct substitution leads to an indeterminate form. By investigating further, we can simplify and solve using appropriate limit-solving strategies in calculus. ---
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