Fundamental theorem of calculus
f is continuous at c if and only if for every ε>0 there exists δ>0 such that |x−c|<δ ⇒ |f(x)−f(c)|<ε. ┄ Continuous at c 「f(x) Ƚx→c」 = f(c) ┄ A function f:A→ℝ is differentiable at c if and only if 「(f(x)−f(c))/(x−c) Ƚx→c」 exists. The value of the limit, c ...
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