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Question Number 29080 by abdo imad last updated on 04/Feb/18

let give a>0 study the convergence of  Σ_(n=1) ^∞   a^H_n      with H_n = Σ_(k=1) ^n   (1/k).

$${let}\:{give}\:{a}>\mathrm{0}\:{study}\:{the}\:{convergence}\:{of}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:{a}^{{H}_{{n}} } \:\: \\ $$ $${with}\:{H}_{{n}} =\:\sum_{{k}=\mathrm{1}} ^{{n}} \:\:\frac{\mathrm{1}}{{k}}. \\ $$

Answered by 9405200657 last updated on 04/Feb/18

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Answered by 9405200657 last updated on 04/Feb/18

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