Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Determine the points in the interval (0,5) at which the function has discontinuities. For each point state the conditions in the continuity
checklist that are violated. In order for f to be continuous at a, the following three conditions must hold.
1. f(a) is defined (a is in the domain off).
2. lim f(x) exists.
x→a
3. lim f(x) = f(a) (the value of f equals the limit off at a).
x→a
6+
Q
Q
f(x) is discontinuous at x =
(Use a comma to separate answers as needed.)
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Transcribed Image Text:Determine the points in the interval (0,5) at which the function has discontinuities. For each point state the conditions in the continuity checklist that are violated. In order for f to be continuous at a, the following three conditions must hold. 1. f(a) is defined (a is in the domain off). 2. lim f(x) exists. x→a 3. lim f(x) = f(a) (the value of f equals the limit off at a). x→a 6+ Q Q f(x) is discontinuous at x = (Use a comma to separate answers as needed.)
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