\(A=\left(1-\frac{1}{2014}\right)\left(1-\frac{2}{2014}\right)......\left(1-\frac{2015}{2014}\right)\)
\(=\left(1-\frac{1}{2014}\right)\left(1-\frac{2}{2014}\right).....\left(1-\frac{2014}{2014}\right)\left(1-\frac{2015}{2014}\right)\)
\(=\left(1-\frac{1}{2014}\right)\left(1-\frac{2}{2014}\right)......0.\left(1-\frac{2015}{2014}\right)\)
\(=0\)
Tính tổng:
A= 1+2014^1+2014^2+2014^3+...+2014^2014+2014^2015
B = 3-3^2+3^3+3^4+...+3^100
tính tích:
\(\left(1-\frac{1}{2014}\right).\left(1-\frac{2}{2014}\right).\left(1-\frac{3}{2014}\right)...\left(1-\frac{2015}{2014}\right)\)
so sanh a= 2015^2014+1/2015^2014-1 va b= 2015^2014-1/2015^2014-3
Tính A/B, biết A=1/2+1/3+...+1/2016 và B=1/2015+2/2014+...2014/2+2015/1
Tính tích
\(\left(1-\frac{1}{2014}\right)\times\left( 1-\frac{2}{2014}\right)\times\left(1-\frac{3}{2014}\right).....\left(1-\frac{2015}{2014}\right)\)
Cho A= 1/2+1/3+1/4+..+1/2016
B= 2015/1+2014/2+2013/3+....+2/2014+1/2015. Tính B/A
Tính : A=1 /2016. 2015 +1/2015. 2014+1/2013. 2014+... +1/1. 2
(1/2012+1/2013-1/2014)/(5/2012+5/2013-5/2014)-(2/2103+2/2014-2/2015)/(3/2013+3/2014-3/2015)
Tính nhanh
A = \(\left(\frac{2014}{2}+\frac{2014}{3}+\frac{2014}{4}+...+\frac{2014}{2015}\right):\left(\frac{2014}{1}+\frac{2013}{2}+\frac{2012}{3}+...+\frac{1}{2014}\right)\)
