Đáp án + Giải thích các bước giải:

` A=1/2*(1+1/(1*3))*(1+1/(2*4))*(1+1/(3*5))*...*(1+1/(2015*2017))`

`A=1/2*4/(1*3)*9/(2*4)*16/(3*5)*...*4064256/(2015*2017)`

`A=1/2  *  (2*2)/(1*3) * (3*3)/(2*4) * (4*4)/(3*5) * ... * (2016*2016)/(2015*2017)`

`A=1/2*(2*3*4*...*2016)/(1*2*3*...*2015) * (2*3*4*...*2016)/(3*4*5*...*2017)`
`A=1/2*2016/1*2/2017`

`A=(1/2*2/2017)*2016`

`A=1/2017*2016`

`A=2016/2017`