5-3 -2 -16-3211-2-3-412What x value has a jump discontinuity?3 4What x value has a removable discontinuity?What x value has an infinite discontinuity?5 6

Topic- discontinuity of a function for jump disconntinuitylimx→c-f(x)≠limx→c+f(x)for removable…

Answered: 5 -4 -3 -2 -1 I 6 4 3 2 1 -24 12 i -3…

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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Related questions

Question

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What x value has a jump discontinuity?
3 4
What x value has a removable discontinuity?
What x value has an infinite discontinuity?
5 6

Expert Solution

Step 1

Topic- discontinuity of a function

$f o r j u m p d i s c o n n t i n u i t y \lim_{x \to c^{-}} f (x) \neq \lim_{x \to c^{+}} f (x) f o r r e m o v a b l e d i s c o n n t i n u i t y \lim_{x \to c^{-}} f (x) = \lim_{x \to c^{+}} f (x) \neq f (c) f o r i n f i n i t e d i s c o n n t i n u i t y e i t h e r \lim_{x \to c^{-}} f (x) = \infty o r - \infty o r \lim_{x \to c^{+}} f (x) = \infty o r - \infty$