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Check all of the statements that MUST be true if a function f is continuous at the point x = c. Olim f(x) exists ac the limit from the left and the limit from the right both exists and agree lim f(x) = f(c) U the limit from the left and the limit from the right both equal f(c) the limit from the left and the limit from the right both exist Of(c) is not zero O f(c) exists

Check all of the statements that MUST be true if a function f is continuous at the point x = c. Olim f(x) exists ac the limit from the left and the limit from the right both exists and agree lim f(x) = f(c) U the limit from the left and the limit from the right both equal f(c) the limit from the left and the limit from the right both exist Of(c) is not zero O f(c) exists

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Check all of the statements that MUST be true if a function f is continuous at the point x = c. Olim f(x) exists ac the limit from the left and the limit from the right both exists and agree lim f(x) = f(c) U the limit from the left and the limit from the right both equal f(c) the limit from the left and the limit from the right both exist Of(c) is not zero O f(c) exists
Transcribed Image Text:Check all of the statements that MUST be true if a function f is continuous at the point x = c. Olim f(x) exists ac the limit from the left and the limit from the right both exists and agree lim f(x) = f(c) U the limit from the left and the limit from the right both equal f(c) the limit from the left and the limit from the right both exist Of(c) is not zero O f(c) exists
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