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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: ($\frac{1}{2^{2} }$ -1 )($\frac{1}{3^{2} }$ -1 )($\frac{1}{4^{2} }$ -1 )-.($\frac{1}{2021^{2} }$ -1 ) So sánh B với 2

Toán Lớp 7: ($\frac{1}{2^{2} }$ -1 )($\frac{1}{3^{2} }$ -1 )($\frac{1}{4^{2} }$ -1 )…..($\frac{1}{2021^{2} }$ -1 )
So sánh B với 2

Comments ( 1 )

  1. (1/(2^2)-1)(1/(3^2)-1)…(1/(2021)^2-1)
    =(1/2-1)(1/2+1)(1/3-1)(1/3+1)…(1/2021-1)(1/2021+1)
    =-(1+1/2)(1-1/2)(1+1/3)(1-1/3)…(1+1/2021)(1-1/2021)
    =-1/2 . 3/2 . 2/3 . 4/3 …. 2020/2021 . 2022/2021
    =-2022/2=-1011 < 2
     

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222-9+11+12:2*14+14 = ? ( )