#1695 · Real Analysis · Series

Modified Power Series Convergence

Determine the values of $x$ for which the series $\frac{x}{1 \cdot 2} + \frac{x ^{2}}{3 \cdot 4} + \frac{x ^{3}}{5 \cdot 6} + \frac{x ^{4}}{7 \cdot 8} + \dots$ is convergent or divergent.

~8 minProof · checked by AIratio testpower series

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXI. Convergency and Divergency of Series, Examples XXI.a, No. 5

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