True or false: If f: R\ {0} → R is uniformly continuous, then lim f(x) 2-0 exists. True False

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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True or false: If f: R \ {0} → R is uniformly continuous, then lim f(x)
x→0
exists.
True
False
Transcribed Image Text:True or false: If f: R \ {0} → R is uniformly continuous, then lim f(x) x→0 exists. True False
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