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Question Number 94339 by mathmax by abdo last updated on 18/May/20
$${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:{H}_{{n}} {x}^{{n}} \:\:\:{with}\:{H}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{{k}} \\ $$