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prove-that-v-n-k-1-n-1-2n-2k-1-is-convergente-




Question Number 30176 by abdo imad last updated on 17/Feb/18
prove that  v_n = Σ_(k=1) ^n    (1/(2n+2k +1)) is convergente.
$${prove}\:{that}\:\:{v}_{{n}} =\:\sum_{{k}=\mathrm{1}} ^{{n}} \:\:\:\frac{\mathrm{1}}{\mathrm{2}{n}+\mathrm{2}{k}\:+\mathrm{1}}\:{is}\:{convergente}. \\ $$

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