so sanh A va B A=(1/2 ² -1).(1/3 ² -1).(1/4 ²-1).......(1/2014 ²-1) B= -1/2
2 câu trả lời
A=(122−1)(132−1)(142−1)......(120142−1)TrongbieuthucAcotatca:2014−22+1=1007phantu.⇒AcogiatriamhayA<0.⇒A=(12−1)(12+1)(13−1)(13+1)(14−1)(14+1).......(12014−1)(12014+1)=−[(1−12)(1−13)(1−14)......(1−12014)][(1+12)(1+13)(1+14)......(1+12014)]=−(12.23.34.....20132014).(32.43.54.....20152014)=−12014.20152=−12.20152014<−12.⇒A<B.
A=(−322)(−833)...(1−2014220142)
A=−(32.283.3...405619520142)
(Do co (2014-2):1+1 = 2013 so am nen co dau am o dau).
A=−(1.32.22.43.3...2013.201520142)
A=−(1.2.3....20132.3.4....20143.4.5...20152.3.4....2014
A=−(1201420152)=−20154028.
Lai co B=−1/2=−2014/4028
Vay $A