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Question Number 210767 by lmcp1203 last updated on 18/Aug/24

Commented by Frix last updated on 19/Aug/24

35

$$\mathrm{35} \\ $$

Commented by lmcp1203 last updated on 19/Aug/24

without calculator is possible? or not for this type of problem?

$${without}\:{calculator}\:{is}\:{possible}?\:{or}\:{not}\:{for}\:{this}\:{type}\:{of}\:{problem}? \\ $$

Answered by BHOOPENDRA last updated on 19/Aug/24

Σ_(n=1) ^(n=2024) (1/n^(2/3) )  ⇒ 35 approx

$$\underset{{n}=\mathrm{1}} {\overset{{n}=\mathrm{2024}} {\sum}}\frac{\mathrm{1}}{{n}^{\frac{\mathrm{2}}{\mathrm{3}}} } \\ $$$$\Rightarrow\:\mathrm{35}\:{approx}\: \\ $$$$ \\ $$

Answered by Berbere last updated on 19/Aug/24

yes Σ_(k=1) ^m (1/k^(2/3) )  zeta/hurwitz function

$${yes}\:\underset{{k}=\mathrm{1}} {\overset{{m}} {\sum}}\frac{\mathrm{1}}{{k}^{\frac{\mathrm{2}}{\mathrm{3}}} } \\ $$$${zeta}/{hurwitz}\:{function} \\ $$$$ \\ $$

Commented by lmcp1203 last updated on 19/Aug/24

thank you

$${thank}\:{you} \\ $$

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