lim S/GX X+10 5 G1-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...
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The image presents a mathematical expression for finding the limit as \( x \) approaches 15:

\[
\lim_{{x \to 15}} \frac{\sqrt{x + 10} - 5}{x - 15}
\]

This expression is a classic example of evaluating a limit in calculus. The limit problem involves a fraction where the numerator is the difference between the square root of \((x + 10)\) and 5, and the denominator is the difference \((x - 15)\). The limit evaluates the behavior of the function as \( x \) gets arbitrarily close to 15.
Transcribed Image Text:The image presents a mathematical expression for finding the limit as \( x \) approaches 15: \[ \lim_{{x \to 15}} \frac{\sqrt{x + 10} - 5}{x - 15} \] This expression is a classic example of evaluating a limit in calculus. The limit problem involves a fraction where the numerator is the difference between the square root of \((x + 10)\) and 5, and the denominator is the difference \((x - 15)\). The limit evaluates the behavior of the function as \( x \) gets arbitrarily close to 15.
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To evaluate the given limit of the function.

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