Ta có
1/31 + 1/32 + ... + 1/40 < 1/31 + 1/31 +... + 1/31 = 1/31x10
1/41 + 1/42 + ... + 1/50 < 1/41 + 1/41 + ... + 1/41 = 1/41x10
1/51 + 1/52 + ... + 1/60 < 1/51 + 1/51 + ... + 1/51 = 1/51x10
=> A < 1/31 x 10 + 1/41 x 10 + 1/51 x 10
=> A < 1/30 x 10 + 1/40 x 10 + 1/50 x 10
=> A < 1/3 + 1/4 + 1/5 = 47/60 < 48/60 = 4/5
=> A < 4/5 (ĐPCM)
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