CHứng minh: C=1/2^2 + 1/4^2 + 1/6^2 +………..+ 1/100^2 < 1/2 13/10/2021 Bởi Daisy CHứng minh: C=1/2^2 + 1/4^2 + 1/6^2 +………..+ 1/100^2 < 1/2
`C=1/2^2 + 1/4^2 + 1/6^2 +………..+ 1/100^2 ` `C=1/2^2(1+1/2^2+1/3^2+1/4^2+…+1/50^2)` `C<1/4(1+1/(1.2)+1/(2.3)+…+1/(49.50))` `C<1/4(1+1-1/2+1/2-1/3+…+1/49-1/50)` ` C<1/4(1+1-1/50)` `C<1/4(2-1/50)` `C<1/2-1/200` `C<1/2` Bình luận
`C=1/2^2 + 1/4^2 + 1/6^2 +………..+ 1/100^2 `
`C=1/2^2(1+1/2^2+1/3^2+1/4^2+…+1/50^2)`
`C<1/4(1+1/(1.2)+1/(2.3)+…+1/(49.50))`
`C<1/4(1+1-1/2+1/2-1/3+…+1/49-1/50)`
` C<1/4(1+1-1/50)`
`C<1/4(2-1/50)`
`C<1/2-1/200`
`C<1/2`