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Determine if the given function is continuous on the given interval a. [2,5) , x

Determine if the given function is continuous on the given interval a. [2,5) , 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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Determine if the given function is Continuous on the given interval. a. [2,5) x <0 f(x) = %3D 5x-8 0s x < 5 3-x2 , 5E X x/-
Transcribed Image Text:Determine if the given function is Continuous on the given interval. a. [2,5) x <0 f(x) = %3D 5x-8 0s x < 5 3-x2 , 5E X x/-
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Follow-up Question

If it is continuous, there are 3 conditions needed to be satisfied:

i. f(a) is defined

ii. lim x→a f(x) exist 

iii. limx→a f(x) = f(a)

How are these conditions satisfied? Please show complete solution.

 

 

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