chung minh rang 1-1/2+1/3-1/4+.....+1/199-1/200=1/101+1/102+.....+1/200
Chung minh rang:
a,1-1/2+1/3-1/4+...+1/199-1/200=1/101+1/102+...+1/200
A=1/101+1/102+1/103+...1/200 chung minh rang 5/8<A<3/4
1.Chưng minh rằng (1+/1/3+1/5+....+1/99)-(1/2+1/4+1/6+...+1/100)=1/51+1/52+...+1/100
2.Áp dụng phan 1 để chung minh 1-1/2+1/3-1/4+.....-1/200=1/101+1/102+.......+1/200
1-1/2+1/3+1/4+...+1/199+1/200=1/101+1/102+1/103+...+1/200
CMR:1/101+1/102+1/103+...+1/200=1-1/2+1/3-1/4+...+1/199-1/200
CMR : ( 1 + 1/3 + 1/5 + ...+ 1/99 ) + ( 1/2 + 1/4+ ..1/200 ) = 1/101 + 1/102+..+1/200
CMR: 1-1/2+1/3-1/4+...+1/199-1/200=1/101+1/102+1/103+...+1/200
CMR:
1-1\2+1\3-1\4+.....+1\199-1\200=1\101+1\102+.....+1\200