A=\(\frac{1}{^22}+\frac{1}{^23}+\frac{1}{^2\text{4}}+......+\frac{1}{^2100}\)
Chứng minh hơn 3/4
B=\(\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+......+\frac{1}{100^2}\)<1
a)E=12/84 + 12/210 + 12/390 +...+ 12/2100
b)G=1/2 + 1/22 + 1/23 + 1/24 +....+ 1/299 + 1/2100
Bài 4 :
a,Cho A= 1/2!+1/3!+.....+1/100!
CMR A<1
b, CMR :1-1/2+1/3-1/4+...+1/99-1/100=1/51+1/52+....+1/100
CMR:(1+1/2+1/3+1/4+...+1/100)=1/2=2/3+3/4+...+99/100
CMR(1/1*2+1/2*3+1/3*4+1/4*5+...+1/99*100):(1/51+1/52+1/53+...+1/100) = 1
CMR:
a)1/10^2 +1/11^2+1/12^2+...+1/100^2 >3/4
b)1/2^2+1/3^2+1/4^2+...+1/100^2<99/100
c)1/2^2+1/3^2+1/4^2+...+1/100^2<3/4
CMR: 1/2! + 1/3! + 1/4! + .... + 1/100! < 3/4
cmr :1/2^2+1/4^2+...+1/100^2<1
1/2!+1/3!+1/4!+...+1/100!<1
CMR:1/2+1/3+1/4+...+1/100>99/100