Câu 1: so sánh
A = \(\dfrac{7^{2013}+1}{7^{2014}+1}\) và B = \(\dfrac{7^{2014}+1}{7^{2015}+1}\)
So sanh:
A=72013+1 / 72015+1
B=72015+1 / 72017+1
\(\frac{7^{2015}+1}{7^{2017}+1}\)và\(\frac{7^{2017}+1}{7^{2019}+1}\)
Hãy so sánh
\(\left(\frac{1}{2}+\frac{2015}{2016}+\frac{2016}{2017}+1\right)\left(\frac{2105}{2016}+\frac{2016}{2017}+\frac{7}{22}\right)-\left(\frac{1}{2}+\frac{2015}{2016}+\frac{2016}{2017}\right)\left(\frac{2015}{2016}+\frac{2016}{2017}+\frac{7}{22}+1\right)\)
Cho A= \(\frac{4+\frac{4}{2012}-\frac{4}{2013}+\frac{4}{2014}-\frac{4}{2015}}{\frac{7}{2014}-\frac{7}{2015}+\frac{7}{2012}-\frac{7}{2013}+7}\)
Và B= \(\frac{1+2+2^2+...+2^{2013}}{2^{2015}-2}\)
Tính A - B
p/S: LM ƠN GIÚP TỚ VS :
Tính
\(2.\left(\frac{1}{3}+\frac{1}{5}+\frac{1}{7}+...+\frac{1}{2013}+\frac{1}{2015}+\frac{1}{2017}\right)\)
Thực hiện phép tính :
a ) A =\(\frac{2015+2013+2011+2009+...+7+5+3+1}{2015-2013+2011-2009+...+7-5+3-1}\)
b) B = \(\frac{1+\frac{1}{3}+\frac{1}{5}+...+\frac{1}{97}+\frac{1}{99}}{\frac{1}{1.99}+\frac{1}{3.97}+\frac{1}{5.95}+...+\frac{1}{97.3}+\frac{1}{99.1}}\)
a)(-1975)+(-1974)+.........+(-1)+0+1+............+2016
b)B=\(\frac{2015+2013+2011+2009+...........+7+5+3+1}{2015-2013+2011-2009+........+7-5+3-1}\)
\(\frac{^{^{2015^{2013}+1}}}{2015^{2014}+7}\)và \(\frac{2015^{2014}-2}{2015^{2015}-2}\)hãy so sánh 2 phân số đó
