be two functions verifying the following conditions:
- The functions
are both differentiable on a pointed neighborhood of
We can verify here some limits from Table 4.1
, we can iterate the processus described in Theorem
14.1. For example:
The result in Theorem 14.1 is unchanged if we replace
L'Hopital's rule can be proven, and generalized, using Taylor developments.
This material is explained in next chapter.