Thực hiện phép tính:
\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2016}+\frac{1}{2017}}{\frac{2016}{1}+\frac{2015}{2}+\frac{2014}{3}+...+\frac{2}{2015}+\frac{1}{2016}}\)
tính
A=\(\left(\frac{1}{3}+\frac{1}{4}+..+\frac{1}{2016}\right)\left(1+\frac{1}{2}+...+\frac{1}{2015}\right)\left(1+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2016}\right)\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2015}\right)\)
Cho A bằng \(\frac{1^2}{2}+\frac{1^2}{3}+\frac{1^2}{4}+...+\frac{1^2}{2015}+\frac{1^2}{2016}\)
Chứng minh rằng A ko phải là số nguyên
Thực hiện phép tính:
\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}...+\frac{1}{2016}+\frac{1}{2017}}{\frac{2016}{1}+\frac{2015}{2}+\frac{2014}{3}+...+\frac{2}{2015}+\frac{1}{2016}}\)
đang cần rất gấp mọi người ạ :3
#thanks nhieeuf2 .
\(Tính:B=\frac{\frac{2015}{1}+\frac{2014}{2}+...+\frac{1}{2015}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2016}}\)
Chứng minh: \(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^{2015}}+\frac{1}{3^{2016}}<\frac{1}{2}\)
cho A=\(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+.......+\frac{1}{2016}+\frac{1}{2017}\)
va B=\(\frac{2016}{1}+\frac{2015}{2}+\frac{2014}{3}+......+\frac{2}{2015}+\frac{1}{2016}\)
Tinh ti so \(\frac{A}{B}\)
Chứng minh rằng : \(B=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+....+\frac{1}{2^{2016}-2}+\frac{1}{2^{2016}-1}>1008\)
Cho A= \(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+....+\frac{1}{2016}+\frac{1}{2017}\)
B =\(\frac{2016}{1}+\frac{2015}{2}+....+\frac{2}{2015}+\frac{1}{2016}\)
Tinh \(\frac{B}{A}\)giai ra giup minh voi