@[email protected]M to Daily Maths [email protected] • 2 months ago[2024/05/15] Differentiability implies continuitylemmy.worldimagemessage-square6fedilinkarrow-up19arrow-down10file-text
arrow-up19arrow-down1image[2024/05/15] Differentiability implies continuitylemmy.world@[email protected]M to Daily Maths [email protected] • 2 months agomessage-square6fedilinkfile-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)
minus-square@kartoffelsaftlink1•1 month agoIsn’t the Weierstrass function a counterexample to the premise? Wait no, I misread. It’s the converse.
minus-square@[email protected]OPMlinkfedilink1•1 month agoi thought the “default” counter example is y=|x| lol
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Isn’t the Weierstrass function a counterexample to the premise?Wait no, I misread. It’s the converse.i thought the “default” counter example is y=|x| lol