Bilatu
GeoGebra
  • Hasiera
  • Baliabideak
  • Profila
  • Classroom
  • Jaitsi aplikazioak

Differentiability is not preserved by pointwise convergence.

Egilea:Vincent Pantaloni
Here, each f_n is differentiable on R, in particular, for every n in N*, f'_n(0)=0. The sequence converges pointwise to the absolute value which is not differentiable in zero. This counter-example shows that differentiability is not preserved by pointwise convergence.

GIF animation

GIF animation

GeoGeba applet

GeoGeba applet

Baliabide berriak

  • The 3D Space
  • Special Solid Trace
  • အခြေခံ data အခေါ်အဝေါ်များ
  • גיליון אלקטרוני להעלאת נתוני בעיה ויצירת גרף בהתאם
  • 立体几何-公理3及推论

Aurkitu Baliabideak

  • Periodic Function Investigation
  • isosceles right triangle
  • CCSS High School: Geometry (Expressing GEO. Prop's w/Equns.)
  • חוק הפילוג
  • Kopie von Pythagoras tree

Aurkitu Gaiak

  • Ekuazioak
  • Kalkulu Integrala
  • Bolumena
  • Ebaketa Konikoak
  • Limiteak
Baliabideari buruzKideakHelp Center
Erabilpen-baldintzakPribatutasunaLizentzia
Kalkulagailu GrafikoaCalculator SuiteCommunity Resources

Download our apps here:

Download_on_the_App_Store_Badge_US-UK_RGB_blk_4SVG_092917

© 2025 GeoGebra®