Tính:
Tử số: 1/2013+1/2012+1/2011+.....+1/3+1/2
Mẫu số: 2012+2011/2+2010/3+.......+1/2012
*Mình không ghi đươc phân số
tính:
tử số : 1/2013+1/2012+1/2011+.....+1/3+1/2
mẫu số : 2012+2011/2+2010/3+...+1/2012
các bạn tính cho mình đó là phân số gì nhé
\(\frac{\frac{1}{2013}+\frac{1}{2012}+\frac{1}{2011}+...+\frac{1}{3}+\frac{1}{2}}{2012+\frac{2012}{2}+\frac{2011}{3}+...+\frac{1}{2013}}\)
cậu viết sai đề sửa lại:
\(=\frac{\frac{1}{2013}+\frac{1}{2012}+\frac{1}{2011}+...+\frac{1}{3}+\frac{1}{2}}{\left(1+\frac{2012}{2}\right)+\left(1+\frac{2011}{3}\right)+...+\left(1+\frac{1}{2013}\right)}\)
\(=\frac{\frac{1}{2013}+\frac{1}{2012}+\frac{1}{2011}+...+\frac{1}{3}+\frac{1}{2}}{\frac{2014}{2}+\frac{2014}{3}+...+\frac{2014}{2013}}\)
\(=\frac{\frac{1}{2013}+\frac{1}{2012}+\frac{1}{2011}+...+\frac{1}{3}+\frac{1}{2}}{2014.\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2013}\right)}\)
\(=\frac{1}{2014}\)
(1/2+1/3+....+1/2012+1/2013)*x=2012/1+2011/2+2010/3+...+2/2011+1/2012
\(\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2013}\right).x=\frac{2012}{1}+\frac{2011}{2}+\frac{2010}{3}+...+\frac{1}{2012}\)
tìm x,biet(1/2+1/3+.............+1/2012+1/2013).x=2012/1+2011/2+2010/3+......+2/2011+1/2012
Tìm x biết (1/2+1/3+...+1/2012+1/2013).x = 2012/1+2011/2+2010/3+...+2/2011+1/2012
\(S=\sqrt{1+2010^2+\frac{2010^2}{2011^2}}+\frac{2010}{2011}+\sqrt{1+2011^2+\frac{2011^2}{2012^2}}+\frac{2011}{2012}+\sqrt{1+2012^2+\frac{2012^2}{2013^2}}+\frac{2012}{2013}\)
Bài 1
so sanh 2010/2011+2011/2012+2012/2013+2013/2010 với 4
Bài 2
A=2011+2012/2012+2013 và B=2011/2012+2012/2013
Bài 3
E=1/3+2/32+3/33+..+100/3100
Chứng minh E<3/4
tìm x biết ( 1/2 + 1/3 + ... + 1/2012 + 1/2013 ) .x = 2012/1 + 2011/2 + 2010/3 + ... + 2/2011 + 1/2012
tìm X biết : ( 1 / 2 + 1/3 + ........+ 1 /2012 + 1/2013 ) . x = 2012/1 + 2011/2 + 2010 /3 + .....+2/2011+1/2012
tìm x (1/2+1/3+...+1/2013) *x= 2012 +2011/2+2010/3+...+2/2011+1/2012