Is there a difference between substituting values of a variable and the limit of a function? From what I understand, they seem to have a same principle on substituting the value. What is the objective/purpose of the limit?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.7: Inverse Functions
Problem 1SE: Describe why the horizontal line test is an effective way to determine whether a function is...
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Is there a difference between substituting values of a variable and the limit of a function? From what I understand, they seem to have a same principle on substituting the value. What is the objective/purpose of the limit?

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