The Further Discussion of Sequence Limit
Jia Xiu-me
Abstract
Jia Xiu-me
Abstract
Using the methods of set theory and properties of the supremum and infimum,the upper and lower limit of sequence were discussed further.It has been clear that the upper and lower limit are the largest and smallest accumulation points of set series,a sufficient and necessary condition for the existence of the limit about set series was obtained.
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Using the methods of set theory and properties of the supremum and infimum,the upper and lower limit of sequence were discussed further.It has been clear that the upper and lower limit are the largest and smallest accumulation points of set series,a sufficient and necessary condition for the existence of the limit about set series was obtained.
Key concepts: Infimum and supremum, Limit (mathematics), Sequence (biology), Series (stratigraphy), Mathematics, Limit point, Upper and lower bounds, Set (abstract data type)