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Counterexample

Is this true?

Ratio test inconclusive ⇒ root test inconclusive

No — it is false.

The counterexample

The object that kills this claim comes with Trap Analysis.

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Hypothesis dropped

A theorem applied without checking one of its preconditions.

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series

Go deeper· Explained in full in Series tests — decision tree and the trap list· Asked in CSIR NET December 2025· From The Real Line › Series: comparison, ratio, root, Raabe, condensation, alternating, rearrangements

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