let-give-a-gt-0-study-the-convergence-of-n-1-a-H-n-with-H-n-k-1-n-1-k-

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

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

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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