A function f(x) is said to be continuous at x = c if the following three conditions are satisfied: (1) f(c) exists (ii) lim f(x) exists X-C f(c) = lim f(x) = lim f(c) X-C X-C

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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using desmos graphing app, construct a graph which lie on the interval (-8,8)

choose three different intervals

prove that those intervals are continuous using the conditions a,b,c in the picture

A function f(x) is said to be continuous at x = c if the following three conditions are satisfied:
(1)
f(c) exists
(ii)
lim f(x) exists
X-C
(iii)
f(c) = lim f(x) = lim f(c)
X-C
X-C
Transcribed Image Text:A function f(x) is said to be continuous at x = c if the following three conditions are satisfied: (1) f(c) exists (ii) lim f(x) exists X-C (iii) f(c) = lim f(x) = lim f(c) X-C X-C
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using desmos graphing app, construct a graph which lie on the interval (-8,8)

choose three different intervals

prove that those intervals are continuous using the conditions a,b,c in the picture

 

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