ABSTRACT

Truncating this expansion at the term 10-"(6778) and summing, we obtain 10-'(-362592). Addition to the exact sum of the first five u,(5), that is, 0.17408 (43.3), then yields

0.17045 408, (7.04) compared with the correct value

Even closer agreement is attainable by a second Euler transformation, this time applied to the neglected terms within the parentheses of (7.03). The computations of the relevant differences are given in the following table.'