√x+2-2 lim x→2 x-2 ||

Calculus: Early Transcendentals
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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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Evaluate the limit. please and thank you. 

The image presents a mathematical expression for finding the limit as \( x \) approaches 2. It is given by:

\[
\lim_{{x \to 2}} \frac{\sqrt{x+2} - 2}{x - 2}
\]

This expression involves evaluating the limit of a function that, at first glance, seems to result in an indeterminate form of \(\frac{0}{0}\) as \( x \) approaches 2. Further simplification, possibly using algebraic manipulation or L'Hôpital's rule, may be necessary to resolve the limit.
Transcribed Image Text:The image presents a mathematical expression for finding the limit as \( x \) approaches 2. It is given by: \[ \lim_{{x \to 2}} \frac{\sqrt{x+2} - 2}{x - 2} \] This expression involves evaluating the limit of a function that, at first glance, seems to result in an indeterminate form of \(\frac{0}{0}\) as \( x \) approaches 2. Further simplification, possibly using algebraic manipulation or L'Hôpital's rule, may be necessary to resolve the limit.
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limx2x+2-2x-2

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