ChoA=1/5^2+1/6^2+...+1/100^2. Chứng minh rằng 1/6<A<1/4
cho a =1/2*3/4*5/6*...*79/80. chứng minh a <1/9
Cho A = 1/2 . 3/4 . 5/6 . 7/8 ... 79/80
Chung minh A < 1/9
Tính hợp lí
a, -2/5×4/7+-3/5×2/7+-3/5
b,5/9×14/17+1/17×5/9+2/9+5/12
c,-4/25÷11/79+15/11÷25/79
d, (2/101÷5/9+-3/7)×(6/5÷1/3)
Bài 1 : Cho A = \(\frac{1}{2}.\frac{3}{4}.\frac{5}{6}.\frac{7}{8}...\frac{79}{80}\)
Chứng minh rằng A < \(\frac{1}{9}\)
Bài 4 : Chứng minh rằng: 1.3.5.7....19 = \(\frac{11}{2}.\frac{12}{2}.\frac{13}{2}...\frac{20}{2}\)
1. Tính (bằng cách hợp lý nhất0
a, -2/5. 4/7 + -3/5 . 2/7 + -3/5
b,5/9.14/17+1/17.5/9+ 2/9 . 5/12
c,-4/25: 11/79 +15/11:25/79
d, (2/101: -5/9 + -3/7). (6/5-2/5:1/3)
Please help me!!!
ChoA:\(\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+...+\frac{1}{100^2}\).Chứng minh rằng A < 3/4
Cho A=1/2×3/4×5/6.....×79/80. Chứng minh A>1/13
Bài1: chứng minh rằng
1-1/2+1/3-1/4+1/5-1/6+.......-1/1996=1/996+1/997+.....+1/9996
Bài 2:tính
A=1*3*5*7*.....*99/51*52*......*100
Bài 3: Cho A = 1/6*10+1/7*9+1/8*8+1/9*7+1/10*6 chứng minh rằng A= 1/8*(1/6+1/7+1/8+1/9+1/10)