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lim X->15 x+10 5 x-15 c/+X

lim X->15 x+10 5 x-15 c/+X

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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Evaluate the limit.

The expression is a mathematical limit: \[ \lim_{{x \to 15}} \frac{\sqrt{x + 10} - 5}{x - 15} \] This represents the limit of the function as \( x \) approaches 15. The function has a numerator that is the difference of the square root of \( x + 10 \) and 5. The denominator is \( x - 15 \). This type of limit often requires the application of algebraic techniques, such as rationalizing the numerator, to evaluate as \( x \) approaches the point of interest.
Transcribed Image Text:The expression is a mathematical limit: \[ \lim_{{x \to 15}} \frac{\sqrt{x + 10} - 5}{x - 15} \] This represents the limit of the function as \( x \) approaches 15. The function has a numerator that is the difference of the square root of \( x + 10 \) and 5. The denominator is \( x - 15 \). This type of limit often requires the application of algebraic techniques, such as rationalizing the numerator, to evaluate as \( x \) approaches the point of interest.
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