@siriusmartM to Daily Maths Challenges • 6 months ago[2024/05/15] Differentiability implies continuityimagemessage-square6arrow-up111arrow-down10file-text
arrow-up111arrow-down1image[2024/05/15] Differentiability implies continuity@siriusmartM to Daily Maths Challenges • 6 months agomessage-square6file-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)
i thought the “default” counter example is y=|x| lol