[中學]

[AAJJBurnett (叫我投手)]

           1       1      1            1
  若 k=1+ ---- + ---- + ---- + ... + -----
          √2    √3    √4          √120


  求[k]=

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※ 發信站: 批踢踢實業坊(ptt.cc) 
◆ From: 140.114.206.124
推 s511320     :k=1/√2+1/√3+1/√4+.....+1/√120 -1
推 MisatoMitumi:20. ( 2(1/(sqrt(n-1)+sqrt(n))) > 1/sqrt(n) >
→ MisatoMitumi:2(1/(sqrt(n)+sqrt(n+1))), and
→ MisatoMitumi:1/(sqrt(n)+sqrt(n+1)) = sqrt(n+1)-sqrt(n) )
→ AAJJBurnett :謝謝樓上!!! 會了