- #1

nalkapo

- 28

- 0

## Homework Statement

Find all the limit points and interior points of following sets in R

^{2}

A={(x,y): 0<=x<=1, 0<=y<=1} *here I used "<=" symbol to name as "less then or equal".

B={1-1/n: n=1,2,3,...}

## Homework Equations

## The Attempt at a Solution

the limit point of B is 1 as n goes to infinity. because for the limit point, in the neighborhood there must be infinitely many points.

and I think the limit points of A must be all (x,y) values, because in the neighborhood ve can find infinitely many points in the neighborhood of all points.

my problem is with interior points.

How can I approach in order to find interior points? and what are the interior points of these sets?