What is the exact difference between a limit point and an accumulation point?
An accumulation point of a set is a point, every neighborhood of which has infinitely many points of the set. Alternatively, it has a sequence of DISTINCT terms converging to it?
Whereas a limit point simply has a sequence which converges to it? i.e. something like $(1)^n$ which is a constant sequence.
Is this the right idea? As much detail and intuition as possible would be greatly appreciated.