#1692 · Real Analysis · Series

Reciprocal Products Series

Determine whether the series $\frac{1}{1 \cdot 2} + \frac{1}{2 \cdot 3} + \frac{1}{3 \cdot 4} + \frac{1}{4 \cdot 5} + \dots$ is convergent or divergent.

~5 minProof · checked by AItelescoping seriesconvergence tests

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXI. Convergency and Divergency of Series, Examples XXI.a, No. 2

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