HQWwinter 发表于 2009-10-20 16:45

【讨论】函数极限3

本帖最后由 厚积薄发 于 2010-2-16 10:23 编辑

设http://latex.codecogs.com/gif.latex?f%28x%29%3D%5Clim_0%5E%7B+%7D%7B%281-a%5E%7B1/x%7D%29%7D/%281+a%5E%7B1/x%7D%29%28a%3E1%29
      解：
          f(x)在x=0处没有意义，而

http://latex.codecogs.com/gif.latex?%5Clim_0%5E%7B+%7D%7Bf%28x%29%7D%3D%5Clim_0%5E%7B+%7D%7B%28a%5E%7B-1/x%7D-1%29/%28a%5E%7B-1/x%7D+1%29%7D%3D-1

(为什么该式不等于原式)




http://latex.codecogs.com/gif.latex?%5Clim_0%5E%7B-%7D%7B%281-a%5E%7B1/x%7D%7D%29/%281+a%5E%7B1/x%7D%29%3D1
因为http://latex.codecogs.com/gif.latex?%5Clim_0%5E%7B-%7D%7Bf%28x%29%7D%5Cneq%20%5Clim_0%5E%7B+%7D%7Bf%28x%29%7D%2C所以  不存在http://latex.codecogs.com/gif.latex?%5Clim_0%7Bf%28x%29%7D

xiang1990 发表于 2012-8-17 17:41

没看懂符号
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