Math-Geek Challenge

[furrbear]

∀ε>0 ∃δ>0 ∋ 0<|x-a|<δ⇒|ƒ(x)-L|<ε

Answer: Karl Weierstrass' Formal Definition of a Limit:

Let f be a real-valued function defined on an open interval of real numbers containing c (except possibly at c) and let L be a real number. Then

means that

for each real ε > 0 there exists a real δ > 0 such that for all x with 0 < |x − c| < δ, we have |f(x) − L| < ε.

or, symbolically,

fzks_cub was the first to respond with the words "definition of the limit"

Those who answered jrjarrett got the location from where I saw it correct, but missed the correct answer.

Comments

[fzks-cub.livejournal.com]

i never actually learned the mathematician's name in calculus, we just called it the "epsilon/delta definition of a limit" or somethin casual like that, lol...

[geometrician.livejournal.com]

Hmm... my response must've been lost in cyberspace. I replied that it was from jrjarrett's page, and that it was a definition of a limit. Oh, well.

[furrbear.livejournal.com]

My bad, I should have said "With one exception, those...". Yours was the ninth and last to get the def'n correct.

[bearassed.livejournal.com]

But wouldn't the final equation cancel itself out to a single variable?

[jrjarrett.livejournal.com]

I still want someone to produce the logical negation of that equation.

It was an extra credit assignment in Honors Calc I, and Dr. Cateforis said he would only say something if we got it right.

I think I thought about that for all 4 years of college.

[westwind-mv.livejournal.com]

Oh man, I missed it by a mere 14 minutes?!? Gotta be faster in the future.

Fun post; thanks!

[gearjock.livejournal.com]

Is that a hard or soft limit? :)

[cuboz.livejournal.com]

My brain just exploded.

!!!