There are 3 conditions that make a function continuous at a point.  Name the three conditions Give an example of a continuous function at a point, and work through the 3 conditions Give an example of a function that is discontinuous at a point. Specify which condition breaks down.

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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There are 3 conditions that make a function continuous at a point. 

    1. Name the three conditions

    2. Give an example of a continuous function at a point, and work through the 3 conditions

    3. Give an example of a function that is discontinuous at a point. Specify which condition breaks down.

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