[其他] 甄試考古題

[firzen11589 (逆天)]

後天要資工筆試 請問一些考古題

1     1                      1
  Z+ --- = 1 求 Z^2010  + --------   = ?
      z                    Z^2010



2 lim   [(x^3 + 3x^2 + 5)^(1/3) - (x^5 + 2x^4 + 7x^3 + x +3)^(1/5)
  x→∞


3 f(0,y) = y+1 , f(x+1,0) = f(x,1) , f(x+1,y+1) = f(x,f(x+1,y)),那麼f(5,0) = ?


         10   k
4{x|1≦Σ   ------ ≦2}為若干個區間的聯集,試問區間的長度為?
         k=1 (x-k)

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推 whalelover  :1.Z^3=-1