Application of generalized theores on remarkable limits

This article presents examples of the first and second remarkable limit and theorems that facilitate the problem solving process, and their results. Using these theorems, Euler's formula e^iy = cosy + isiny was proved. Students enrolled in technical universities face a number of difficulties and problems in the process of solving problems in "Calculating Limits", in particular, on the example of "Wonderful Limit". We present some of these problems using simple and convenient calculation methods using the following theorems and the results obtained from them.