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S-n-Cos1-1-2-Cos2-2-2-Cos3-3-2-Cosn-n-2-Indicates-that-S-n-is-a-cauchy-suite-




Question Number 144509 by phally last updated on 26/Jun/21
  S_n =((Cos1)/1^2 )+((Cos2)/2^2 )+((Cos3)/3^2 )+...+((Cosn)/n^2 )  Indicates that S_(n )  is a cauchy suite?
$$ \\ $$$${S}_{{n}} =\frac{{Cos}\mathrm{1}}{\mathrm{1}^{\mathrm{2}} }+\frac{{Cos}\mathrm{2}}{\mathrm{2}^{\mathrm{2}} }+\frac{{Cos}\mathrm{3}}{\mathrm{3}^{\mathrm{2}} }+…+\frac{{Cosn}}{{n}^{\mathrm{2}} } \\ $$$${Indicates}\:{that}\:{S}_{{n}\:} \:{is}\:{a}\:{cauchy}\:{suite}? \\ $$

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