Remainder Term for an Alternating Series
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Keywords:
Correction function, error function, remainder term, Gregory series, rational approximation, infinite continued fraction, successive convergentsAbstract
In this paper we give a rational approximation to Gregory series, by applying a correction function to the series. The introduction of correction function certainly improves the value of sum of the series and gives a better approximation to it. We also show that the correction function follows an infinite continued fraction.
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