siriusmart@lemmy.worldM to Daily Maths Challenges@lemmy.world · 3 months ago[2024/05/15] Differentiability implies continuitylemmy.worldimagemessage-square0fedilinkarrow-up11arrow-down10file-text
arrow-up11arrow-down1image[2024/05/15] Differentiability implies continuitylemmy.worldsiriusmart@lemmy.worldM to Daily Maths Challenges@lemmy.world · 3 months agomessage-square0fedilinkfile-text
Show that if a function is differentiable for an interval, it is continuous over that interval. A function is continuous if lim_x->a f(x) = f(a)