Ta có : 

\(A=\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right).....\left(1-\frac{1}{2016}\right)\)

\(A=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.....\frac{2015}{2016}\)

\(A=\frac{2.3.4.....2015}{2.3.4.....2015}.\frac{1}{2016}\)

\(A=\frac{1}{2016}\)

Vậy \(A=\frac{1}{2016}\)

Chúc bạn học tốt ~ 

\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)..\left(1-\frac{1}{2016}\right)\)

\(\Rightarrow A=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}...\frac{2015}{2016}\)

\(\Rightarrow A=\frac{1.2.3..2015}{2.3.4..2016}\)

\(\Rightarrow A=\frac{1}{2016}\)

k đúng cho mk nha

P=336/1007

2014/2016P=2014/2016.336/1007=1/3

sao la 336/1007 zay

NHẤT ĐỊNH SẼ CÓ PHÂN SỐ \(1-\frac{2014}{2014}=0\)

NÊN tích dãy số đó là 0

tk nha

100 ngày

14/25

ủng hộ mk nha

moi hok lop 6 thôi à

14/25 tik mk mk tik laij cho

đáp số : \(\frac{1}{3}\)

P=(-2/1+2).(-2-3/1+2+3)...(-2-3-...-2014/1+2+...2014)

-P=(1.4/2.3)(2.5/3.4)...(2013.2016/2014.2015)

-P=(1.2.3...2014/2.3.4...2013)(4.5.6...2016/3.4.5...2015)

-P=(1/2014)(2016/3)

P=(-1/2014)(2016/3)

(2014/2016)P=-107/3021

Vay...

Đó là câu trả lời sai    

  (\(\frac{5}{2014}\)+ \(\frac{4}{2015}\)-\(\frac{3}{2016}\)) . (\(\frac{1}{2}\)-\(\frac{1}{3}\) - \(\frac{1}{6}\))

= ( \(\frac{5}{2014}\)+ \(\frac{4}{2015}\)- \(\frac{3}{2016}\)) . ( \(\frac{3}{6}\)- \(\frac{2}{6}\) - \(\frac{1}{6}\))

= ( \(\frac{5}{2014}\)+ \(\frac{4}{2015}\)- \(\frac{3}{2016}\)) .                  0

=                                                        0