2. Let r E R. Let f: [0, 0) → R be a function defined by f (x) = - for all x € (0, 0) and f (0) = r. Prove that fis not continuous at 0. Proof by contradiction is not acceptable.
2. Let r E R. Let f: [0, 0) → R be a function defined by f (x) = - for all x € (0, 0) and f (0) = r. Prove that fis not continuous at 0. Proof by contradiction is not acceptable.
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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