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)
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ISBN:9781305652231
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Please use the epsilon-delta definition to prove

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