The rearrangement $$S = 1 + \frac{1}{3} - \frac{1}{2}+ \frac{1}{5}+ \frac{1}{7} - \frac{1}{4}+ \frac{1}{9}+ \frac{1}{11}-\frac{1}{6}+ ...$$ of the alternating harmonic series converges to approximately 1.04

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