Function Continuous at a SINGLE Point | COUNTEREXAMPLES in Analysis | E4
In mathematical analysis, some functions are continuous everywhere, and some functions are discontinuous at some points or everywhere. We construct an example of a function continuous at one point only. The proof is based on the fact that rational numbers and irrational numbers are dense in the set of real numbers.
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Here is the entire Counterexamples in Analysis playlist:
• Counterexamples in Analysis
You may also be interested in my complete Linear Algebra video course:
• Linear Algebra Course
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• Linear Algebra Applications
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