- #1

- 986

- 9

## Homework Statement

Just wondering if I'm understanding the definitions correctly. I honestly feel like an idiot for asking this.

## Homework Equations

A point

*p*is an

**of E is there is a neighborhood N of**

__interior point__*p*such that N contained in E.

A point

*p*is a

**if the set E if every neighborhood of**

__limit point__*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?