Integration counter-examples : Witch's hat functions

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• Offline Activity (.zip)

• GeoGebra Files

  1. Applet 1 (.ggb)
     
  2. Version 2 with a moving peak in 2/n instead of 0. (.ggb)
     
  3. GeoGebra applet of infinitely smooth functions fn converging pointwise to 0 (as all its derivatives) with integrals equal to 1 for all n. (.ggb)