A note on series with recursively defined terms
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🧮 math.CA
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seriesdefineddefiningfunctionnoterecursivelycomparisonconvergence
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In this note we study the convergence of recursively defined infinite series. We explore the role of the derivative of the defining function at the origin (if it exists), and develop a comparison test for such series which can be used even if the defining function of the series is not differentiable.
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