Firstly, the limit of differential partial function-including the limit of univariate and multivariate function, which lays the foundation for the derivative and continuity of function;
The definition of integral part definite integral needs to use limit-which makes the concept of limit need to be used in the future on the basis of definite integral.
Therefore, advanced mathematics actually brings limit into its own system and takes it as a basic tool.
All the above are superficial views, without in-depth discussion. Please forgive me. I hope it will be helpful to understand the subject's question.