cho B =(1/4-1)(1/9-1)................(1/100-1).So sanh A voi -11/21
Những câu hỏi liên quan
Cho M=(1\4-1)×(1\9-1)×(1\16-1)×...×(1\81-1)×(1\100-1)
So sanh M voi -11\21
cho a=(1-1/2)*(1-1/3)*(1-1/4)*...(1-1/19)*(1-1/20)
b=(1-1/4)*(1-1/9)*(1-1/16)*...*(1-1/18)*(1-1/180)
so sanh a va 1/21
so sanh b va 11/21
cau 1 so sanh
3^39vaf 11^21
câu 2 cho S =1+2+262+...+2^9. Hãy so sanh s S voi 5.2^8
câu 3 cm 3^2008 la so co it hon 1005 c/s
Câu 4 so 2^100 co bao nhieu c/s
Cho a=(1-1/2)*(1-1/3)*(1-1/4)*...*(1-1/19)*(1-1/20). So sanh a voi 1/21
\(A=\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)...\left(1-\frac{1}{19}\right)\left(1-\frac{1}{20}\right)\)
\(A=\left(\frac{2}{2}-\frac{1}{2}\right)\left(\frac{3}{3}-\frac{1}{3}\right)...\left(\frac{19}{19}-\frac{1}{19}\right)\left(\frac{20}{20}-\frac{1}{20}\right)\)
\(A=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}...\frac{18}{19}.\frac{19}{20}\)
\(A=\frac{1.2.3...18.19}{2.3.4...19.20}\)
\(A=\frac{1}{20}\Leftrightarrow A>\frac{1}{21}\)
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\(A=\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right).....\left(1-\frac{1}{20}\right)\)
\(A=\frac{1}{2}.\frac{2}{3}......\frac{19}{20}=\frac{1}{20}>\frac{1}{21}\)
\(\text{Vậy: A lớn hơn 1/21}\)
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a. So sanh 2 phan so:A= 2015/2016+2016/2017+2017/2018 va B = 2015+2016+2017/2016+2017+2018
b.1/2.4+1/4.6+........+1/(2x-2).2x = 1/8
c.Cho A = 1/4+1/9+1/16+...+1/81+1/100 . Chung minh rang : A > 65/132
d.Cho B = 12/(2 . 4 ) ^ 2 + 20/ (4 . 6) ^2 + ...........+ 388/ ( 96 . 98 ) ^ 2 + 396/ ( 98 . 100 ) ^2 .Hay so sanh B voi 1 /4
cho A=1/4+1/9+1/16+1/25+...+1/10000 so sanh A voi 3/4
cho A=(1/2^2-1).(1/3^2-1).(1/4^2-1).....(1/100^2-1). So sanh A voi 1/2
A có : 100 - 2 + 1 = 99 thừa số.
Tất cả thừa số của A đều âm.
=> A < 0 < \(\frac{1}{2}\)
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cho A = (1/2^2-1)(1/3^2-1)(1/4^2-1)...(1/100^2-1). so sanh voi -1/2
1. So sanh voi1/2:
a) A= 1/9+ 1/16+ 1/25+......+ 1/3600.
b) So sanh voi 2/5:
S = 1/7 + 1/13 + 1/21 + 1/31 + 1/43 + 1/57 + 1/73+ 1/91
