NEW SEQUENCES THAT CONVERGE TO A GENERALIZATION OF EULER’S CONSTANT

摘要

The purpose of the paper is to give some sequences that converge quickly to a generalization of Euler’s constant, i.e., the limit of the sequence !1 a + 1 a + 1 + · · · + 1 a + n ? 1 ? ln a + n ? 1 a " n∈N , where a ∈ (0, +∞).