In general, when there are multiple objects around which a sequence, function, or set accumulates, the inferior and superior limits extract the smallest and largest of them.
This is quoted from wikipedia. I know limsup to be limit of the upper bound of a sequence. But I am unable to associate the definition of limsup to that of accumulation point. So, can anyone tell me how are they related to each other? And also why is limsup to be the largest accumulation point?? Can anyone also tell what the wiki statement wants to tell?