so sanh A = (1319 +1) /(1318 + 1) và B = (1320 + 1)/(1319 + 1)
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4 tháng 3 2017
\(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+........+\frac{1}{1317}-\frac{1}{1318}+\frac{1}{1319}\)
\(=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+.......+\frac{1}{1319}-2.\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+.....+\frac{1}{1318}\right)\)
\(=1+\frac{1}{2}+\frac{1}{3}+........+\frac{1}{1319}-\left(1+\frac{1}{2}+\frac{1}{3}+.......+\frac{1}{658}+\frac{1}{659}\right)\)
\(=\left(1+\frac{1}{2}+\frac{1}{3}+........+\frac{1}{659}\right)-\left(1+\frac{1}{2}+\frac{1}{3}+......+\frac{1}{659}\right)+\frac{1}{660}+\frac{1}{661}+......+\frac{1}{1319}\)
\(=\frac{1}{660}+\frac{1}{661}+.........+\frac{1}{1319}\)
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B > A
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