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Daily Maths Challenges • 4 months ago

[2024/05/15] Differentiability implies continuity

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[2024/05/15] Differentiability implies continuity

@siriusmartM to

Daily Maths Challenges • 4 months ago

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)

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1•4 months ago
~~Isn’t the Weierstrass function a counterexample to the premise?~~ Wait no, I misread. It’s the converse.
- @siriusmartOPM
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  1•4 months ago
  i thought the “default” counter example is y=|x| lol

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