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  1. Examples and counter-examples in analysis
    1. Pointwise convergence

    Examples and counter-examples in analysis

    Autor:Vincent Pantaloni
    Tema:Continuïtat, Funcions, Gràfica d'una funció, Límits, Funcions a trossos, Seqüències i Sèries, Funcions trigonomètriques
    Animations to illustrate lessons in analysis

    Pointwise convergence

    Some animations to illustrate what pointwise convergence is and some counter-examples regarding this notion.

    • Boundedness is not preserved by pointwise convergence.

    • Continuity is not preserved by pointwise convergence.

    • Differentiability is not preserved by pointwise convergence.

    • fn converges does not imply f'n converges

    • Integration counter-examples : Witch's hat functions

    • Integration and uniform convergence

    Següent
    Boundedness is not preserved by pointwise convergence.

    Nous materials

    • Polar Coordinates Book
    • Limaçons
    • Graphing 1 + cos(θ) in Polar Coordinates
    • Tangent in Cartesian and Polar Coordinates
    • z`]]

    Descobriu materials

    • Straight Lines - Gradient Given
    • chords
    • arrows-to-add
    • Rdians and Unit Circle
    • reacciones
    • Slope intercept form

    Descobriu Temes

    • Àlgebra
    • Principal
    • Punts singulars
    • Quadrat
    • Càlcul Integral
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