In this paper we discuss different methods for solving the limit. First we introduce the relatively easier methods of the monotonic bounded principle and the compression image principle and the Stolz theorem to solve the limit. Second, we discuss the methods to solve the limit of a complex function, and we point out that the key to applying the Topliz theorem is to construct a Topliz transformation to obtain a special solution to the limit of a complex function. Based on these, we summarize the various methods for limit solutions in mathematical analysis. Finally, corresponding limit types and principles are concluded, and examples are given.