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 expression is the limit of a function as \( x \) approaches \( \frac{1}{4} \). The function is a product of two terms:
1. \((6x + 26)\)
2. \((7x^{\frac{1}{2}} + 2)\)
This limit can be represented as:
\[
\lim_{{x \to \frac{1}{4}}} \left( (6x + 26)(7x^{\frac{1}{2}} + 2) \right)
\]
To solve this limit, substitute \( x = \frac{1}{4} \) into the function, assuming the function is continuous at this point.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5498129d-fa90-4054-9767-1cffe54599e5%2Fb4a14a00-2fa0-4621-bbc2-6d8e6897a914%2Fvh7xogg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The expression is the limit of a function as \( x \) approaches \( \frac{1}{4} \). The function is a product of two terms:
1. \((6x + 26)\)
2. \((7x^{\frac{1}{2}} + 2)\)
This limit can be represented as:
\[
\lim_{{x \to \frac{1}{4}}} \left( (6x + 26)(7x^{\frac{1}{2}} + 2) \right)
\]
To solve this limit, substitute \( x = \frac{1}{4} \) into the function, assuming the function is continuous at this point.
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