直觉

This topic discusses the uniqueness of limits, that is, can the limit as a function approaches some number take on multiple values? Can the limit as x approaches m of f(x) equal multiple values. The intuition for why a function won't be able to approach multiple values is that the value of the function must get closer and closer to one of the values if you get closer and closer to m, but it also must at the same time get closer and closer to the other value. This isn't possible. The branches in this topic will explore how to prove this rigorously.