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Question Number 190165 by TUN last updated on 29/Mar/23

S_n =1+(1/2^2 )+(1/3^2 )+...+(1/n^2 )  => lim_(n→∞) S_n =¿

$${S}_{{n}} =\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{2}} }+...+\frac{\mathrm{1}}{{n}^{\mathrm{2}} } \\ $$ $$=>\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}{S}_{{n}} =¿ \\ $$

Answered by JDamian last updated on 29/Mar/23

(π^2 /6)

$$\frac{\pi^{\mathrm{2}} }{\mathrm{6}} \\ $$

Commented byTUN last updated on 10/Apr/23

how to solve it

$${how}\:{to}\:{solve}\:{it} \\ $$

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