Mathematik

连续:
 
      原始定义  lim(Delta x->0) Delta y = 0    增量趋零啊增量趋零
      扩展定义  lim(x->x0) f(x) = f(x0)          极限取得到x0函数值
 
 
可导:
 
      原始定义  lim(Delta x->0)   Delta y/Delta x = f'(x)  即
                    lim(Delta x->0) f(x0+Delta x) – f(x0)]/Delta x = f'(x)
      或者        lim(h->0) [f(x0+h)-f(x0)]/h = f'(x)
      还有        lim(x->x0) [f(x)-f(x0)]/(x-x0) =f'(x)
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