The sum of the series \( \frac{1}{1 \cdot 2}-\frac{1}{2 \cdot 3}+\frac{1}{3 \cdot 4}-\ldots \) u...

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The sum of the series \( \frac{1}{1 \cdot 2}-\frac{1}{2 \cdot 3}+\frac{1}{3 \cdot 4}-\ldots \) up to \( \infty \) is equal to
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