Please show us what you have tried and exactly where you are stuck.I don't understand how to prove these statements
The definition of cluster point is problematic for a true or false question. Although some sources will say that limit point and cluster point are the same. But not all!Please show us what you have tried and exactly where you are stuck.
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Thank you for helping to make my point. It is next to impossible to answer a true or false problem set unless exact precise set of definitions are given.I would say that "limit point" of a sequence and "cluster point" of a sequence are the same thing but not necessarily the same as "limit of the sequence".