In my maths textbook, for the theory of limits, there is a statement which I am not able to make intuitive sense of. It says:
At a given point, the value of a function and its limit may be different, even when both are well defined.
Can someone please explain this and give an example for such a function? What is the usefulness of limits in such a case, when the entire concept of limits is based on approaching a real number and being able to give it a value?