Continuity

Learn the concept of continuity of a function and the different types of discontinuities that can be found. Also discover results on continuous functions as the Weierstrass theorem, Bolzano's theorem or the Darboux property (also known as the Intermediate Value Theorem).

  1. Continuity in a closed interval and theorem of Weierstrass

    Difficulty: 8

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  2. Continuity of a function at a point

    Difficulty: 7

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  3. Continuous functions

    Difficulty: 7

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  4. Discontinuity of functions: Avoidable, Jump and Essential discontinuity

    Difficulty: 8

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  5. Property of Darboux (theorem of the intermediate value)

    Difficulty: 8

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  6. Side continuity

    Difficulty: 7

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  7. Theorem of Bolzano

    Difficulty: 8

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