初入大学的新生想请教各位学长学姐~

[LuWehm 0]

当X→0时，lim sinx/IxI 的极限存在吗？为什么？

 

[TerenceLau 0]

We have to consider these two condition:    .

Then, we can use  L'Hospital's Rule to calculate the limit, we can get the answers are 1 and -1 respectively, which means left limit not equals to the right limits. 

hence  limit at x to 0 not exists.