7. If a function f is not defined at a but lim f(x) exists, is it possible for f to be continuous at a? If so, x-a under what conditions? What kind of discontinuity must f have at a otherwise? 8. If a function f is defined at a and lim f(x) exists, is it possible for f to be continuous at a? If so, under what conditions? What kind of discontinuity must f have at a otherwise? x-a 9. If lim f(x) # lim f(x) but both one-sided limits exist, is it possible for f to be continuous at a? If so, x-a- x→a+ under what conditions? What kind of discontinuity must f have at a otherwise?
7. If a function f is not defined at a but lim f(x) exists, is it possible for f to be continuous at a? If so, x-a under what conditions? What kind of discontinuity must f have at a otherwise? 8. If a function f is defined at a and lim f(x) exists, is it possible for f to be continuous at a? If so, under what conditions? What kind of discontinuity must f have at a otherwise? x-a 9. If lim f(x) # lim f(x) but both one-sided limits exist, is it possible for f to be continuous at a? If so, x-a- x→a+ under what conditions? What kind of discontinuity must f have at a otherwise?
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...
Related questions
Question
![7. If a function f is not defined at a but lim f(x) exists, is it possible for f to be continuous at a? If so,
under what conditions? What kind of discontinuity must f have at a otherwise?
x→a
8. If a function f is defined at a and lim f(x) exists, is it possible for f to be continuous at a? If so, under
what conditions? What kind of discontinuity must f have at a otherwise?
x-a
9. If lim f(x) ‡ lim f(x) but both one-sided limits exist, is it possible for f to be continuous at a? If so,
x-a-
x→a+
under what conditions? What kind of discontinuity must f have at a otherwise?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F442cdeaf-d6f5-4c90-9eca-defd0049fe9f%2Fcbeb321a-57e5-4366-8cb3-b003b58fe9e9%2Fld97px_processed.png&w=3840&q=75)
Transcribed Image Text:7. If a function f is not defined at a but lim f(x) exists, is it possible for f to be continuous at a? If so,
under what conditions? What kind of discontinuity must f have at a otherwise?
x→a
8. If a function f is defined at a and lim f(x) exists, is it possible for f to be continuous at a? If so, under
what conditions? What kind of discontinuity must f have at a otherwise?
x-a
9. If lim f(x) ‡ lim f(x) but both one-sided limits exist, is it possible for f to be continuous at a? If so,
x-a-
x→a+
under what conditions? What kind of discontinuity must f have at a otherwise?
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