\(\frac{1}{51}+\frac{1}{52}+\frac{1}{53}+...+\frac{1}{100}>\frac{1}{100}+\frac{1}{100}+...+\frac{1}{100}=\frac{50}{100}=\frac{1}{2}\)(50 số 1/100)
\(\RightarrowĐPCM\)
chứng minh 1/2<1/51+1/52+1/53+.......+1/99+1/100<1
Chứng minh rằng: 1/2 < 1/51+1/52+1/53+.....+1/100<1
Chứng minh :(1+1/3+1/5+...+1/99)-(1/2+1/4+1/6+...+1/100)=1/51+1/52+1/53+...+1/100
Chứng minh: 1- 1\2 + 1\3 - 1\4 + 1 \5 - 1\6 + ....... + 1\99 -1\100 = 1\51 + 1\52 + 1\53 + ..........+1\100
chứng minh rằng ;
1/51+1/52+1/53+....................+1/100>7/12
Chứng minh 1*3*5*...*99=51/2*52/2*53/2*...*100/2
CHỨNG MINH:1/1.2+1/3.4+1/5.6+1/7.8+.......+1/99.100=1/51+1/52+1/53+......+1/100
Chứng minh \(\frac{1}{2}< \frac{1}{51}+\frac{1}{52}+\frac{1}{53}+...+\frac{1}{100}< 1\)
[1+1/3+1/5+....+1/99]-[1/2+1/4+1/6+...+1/100] = 1/51+1/52+1/53+....+1/100
