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611 Differentiable
┄ 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. 「f(x) Ƚx→c」 = f(c) ┄ ᐥA 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, called the deriv ...
9736#9757 SIBLINGS CHILDREN 9757
 
612 differentiable ⇒ continuous
If f is differentiable at c then f is continuous at c.
9736#9758 SIBLINGS CHILDREN 9758

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