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1.试证:从1到(?)~1684—1的全体自然数的倒数之和小于1985. 证明题意就是要证明 S=1+1/2+1/3+…+1/(2~(1984)-2)+1/(2~(1984)-1)<1985. ∵2~(1983)<2~(1984)-1<2~(1984),故
1. Testimony: The sum of the reciprocals of all natural numbers from 1 to (?) to 1684-1 is smaller than 1985. The proof of meaning is to prove that S=1+1/2+1/3+...+1/(2~ (1984)-2)+1/(2~(1984)-1)<1985. ∵2~(1983)<2~(1984)-1<2~(1984),