Series to Ad Infinitum part III

Calculus Level 4

\[\displaystyle{ \dfrac{1}{1\cdot 2} -\dfrac{1}{2\cdot 3} +\dfrac{1}{3\cdot 4} - \cdots = \text{ ?} }\]

Answer up to \(4\) decimal places.

Image Credit: Wikipedia Natural Logarithm by W. Muła
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