Translating the method of judgement and request the limit of function of many variables into the method of judgment and request the limit of one variable function.

The author of the referece[1]has translated the method of judgment and reguesting the limit of function of many variables into the method of judgment and requesting the limit of one variable function in "One Method of Requesting the Limit of Function of many Variables",and giving the theorem and the corollary,then proving them,but both the theorem and the deduction are wrong.

Translating the method of judgement and request the limit of function of many variables into the method of judgment and request the limit of one variable function.

How discuss the easy-make mistakes in the limit of duality function;

In this paper, the author discusses the limit function of {fn} in a connected component of F(f).

Some properties of the limit function of the iterated exponentials sequence are presented.

The differentiability of limit function of functional sequence is studied;a stronger condition is improved that ordinary derivative functional sequence is uniform convergence;a sufficient condition of the differentiability of a limit function is obtained,and its applying range is expanded.