Remark 3.1 Let us remark the following:
(i) Every limit point of type (1) implies accumulation point.
(ii) Every limit point of type (2) implies cluster point.
(iii) Every accumulation point is a cluster point.
(iv) Every limit point is a adherent point.
(v) Every condensation point is an accumulation point, a cluster point and a
adherent point.
(vi) In set of A, x is a cluster point if and only if x is an adherent point of
A − {x}.