Math-Geek Challenge
Apr. 15th, 2009 05:41 pm∀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,
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