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A SCHEMA FOR OBTAINING THE SUM OF THE ALTERNATING SERIESKeywords: convergent series , alternating series , sum of a series , power series , integrals , geometric progression , trigonometric series , the residues theorem , the identity of Catalan , generalized constant of Euler type , the function of Riemann. Abstract: We recall some classical methods for obtaining the sum of the alternating series and we give a special attention to one of these methods, generalizing the schema based on the identity of Catalan.
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