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lim-n-1-1-2-1-2-2-1-3-2-1-n-2-




Question Number 194147 by DAVONG last updated on 28/Jun/23
lim_(nā†’+āˆž) ((1/1^2 )+(1/2^2 )+(1/3^2 )+...+(1/n^2 ))=?
$$\underset{\mathrm{n}\rightarrow+\infty} {\mathrm{lim}}\left(\frac{\mathrm{1}}{\mathrm{1}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{2}} }+…+\frac{\mathrm{1}}{\mathrm{n}^{\mathrm{2}} }\right)=? \\ $$
Answered by Frix last updated on 28/Jun/23
(Ļ€^2 /6)
$$\frac{\pi^{\mathrm{2}} }{\mathrm{6}} \\ $$
Answered by 123564 last updated on 03/Jul/23

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