Just wondering if I'm understanding the definitions correctly. I honestly feel like an idiot for asking this.
A point p is an interior point of E is there is a neighborhood N of p such that N contained in E.
A point p is a limit point if the set E if every neighborhood of p contains a point q ≠ p such that q is in element of E.
The Attempt at a Solution
It looks like an interior point of E must be contained in E, but a limit point of E is not necessarily contained in E. Am I right?