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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5498129d-fa90-4054-9767-1cffe54599e5%2F9311df84-61b8-40f7-b61a-6a2fd56545b0%2Fopprl2s_processed.jpeg&w=3840&q=75)
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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