Define f:R → R by f (x) = 5x if x is rational and f (x) = x² + 6 if x is irrational. Prove that f is discontinuous at 1 and continuous `at 2. Are there any other points besides 2 at which f is continuous? 2.

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when proving, use epsilon and delta

Define f:R → R by f (x) = 5x if x is rational and f (x) = x² + 6 if x is irrational. Prove
that f is discontinuous at 1 and continuous at 2. Are there any other points besides 2 at
which f is continuous?
2.
Transcribed Image Text:Define f:R → R by f (x) = 5x if x is rational and f (x) = x² + 6 if x is irrational. Prove that f is discontinuous at 1 and continuous at 2. Are there any other points besides 2 at which f is continuous? 2.
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