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Question Number 79051 by 21042009 last updated on 22/Jan/20

Is Σ_(n=1) ^∞ (1/n) converges or diverges

$${Is}\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{{n}}\:{converges}\:{or}\:{diverges} \\ $$

Commented by mathmax by abdo last updated on 22/Jan/20

same nature of ∫_2 ^(+∞)  (dx/x)  wich diverges so this serie is divergent...

$${same}\:{nature}\:{of}\:\int_{\mathrm{2}} ^{+\infty} \:\frac{{dx}}{{x}}\:\:{wich}\:{diverges}\:{so}\:{this}\:{serie}\:{is}\:{divergent}... \\ $$

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