Another New Sequence Which Converges Faster Towards to the Euler–Mascheroni Constant
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In this paper, we introduce a new sequence, which approximates the Euler–Mascheroni constant γ and converges faster to its limit, with the convergence rate n−5. Also, for this constant, new inequalities are established. Our result, compared to other sequences with convergence rates n−2, n−3, or n−4, improves some known results.