Toán C = ( 1 – 1/1234 ) . (1 – 1/1234 ) . (1 – 1/1234) … (1 – 2021/1234) 07/09/2021 By Piper C = ( 1 – 1/1234 ) . (1 – 1/1234 ) . (1 – 1/1234) … (1 – 2021/1234)
`C = (1 -` $\dfrac{1}{1234}$) `. (1 -` $\dfrac{1}{1234}$ `) . (1 -` $\dfrac{1}{1234}$ `) … (1 -` $\dfrac{2021}{1234}$) `= (1 -` $\dfrac{1}{1234}$) `. (1+1+1+….+1).(1 -` $\dfrac{2021}{1234}$) `= (1+1+1+….+1) -` $\dfrac{1}{1234}$) `. (1+1+1+….+1).(1 -` $\dfrac{2021}{1234}$) `=` $\dfrac{-1}{1234}$. $\dfrac{-787}{1234}$) `=` $\dfrac{786}{1234²}$ Trả lời
`C = (1 -` $\dfrac{1}{1234}$) `. (1 -` $\dfrac{1}{1234}$ `) . (1 -` $\dfrac{1}{1234}$ `) … (1 -` $\dfrac{2021}{1234}$)
`= (1 -` $\dfrac{1}{1234}$) `. (1+1+1+….+1).(1 -` $\dfrac{2021}{1234}$)
`= (1+1+1+….+1) -` $\dfrac{1}{1234}$) `. (1+1+1+….+1).(1 -` $\dfrac{2021}{1234}$)
`=` $\dfrac{-1}{1234}$. $\dfrac{-787}{1234}$)
`=` $\dfrac{786}{1234²}$