Here is a starting point.
Is an accumulation point of that set? Why or why not?
Is an accumulation point of that set? Why or why not?
Is an accumulation point of that set? Why or why not?
I think that both poster and Mathstud28 need to consider the makeup of the set
.
Note that the set is in the quarter closed disk, centered at (0,0) with radius .
The point furthest from the origin is happens when .
If we let then we get the points .
Now, we must remind ourselves of the definition of accumulation point.
If is an accumulation point of then must be the limit of a sequence of distinct points in .
Again think about letting then we get the points as .
Does that help you to think about this set?