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Competitive Stats
Q26Section B (Part B)26 of 120

Series — convergence of a Bertrand series

Let α,β∈(0,∞)\alpha,\beta\in(0,\infty). Consider the infinite series

∑n≥41n(log⁡en)α(log⁡e(log⁡en))β.\sum_{n\ge4}\frac{1}{n(\log_e n)^{\alpha}(\log_e(\log_e n))^{\beta}} .

Which of the following statements is true?

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