remainder term
Let be the partial sum of the series with real or complex ().
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If the series is convergent with sum , then we call the the remainder term or simply remainder of the series (). Then .
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If there exists a number such that , then the series is convergent and its sum is .
Title | remainder term |
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Canonical name | RemainderTerm |
Date of creation | 2013-03-22 14:51:02 |
Last modified on | 2013-03-22 14:51:02 |
Owner | PrimeFan (13766) |
Last modified by | PrimeFan (13766) |
Numerical id | 8 |
Author | PrimeFan (13766) |
Entry type | Definition |
Classification | msc 40-00 |
Synonym | remainder |
Synonym | tail of series |
Related topic | SumOfSeries |