`B = 1/2^2 + 1/3^2 + 1/4^2 + ... + 1/50^2`
`B = 1/(2 . 2) + 1/(3 . 3) + 1/(4 . 4) + ... + 1/(50 . 50)`
`Có:`
`1/(2 . 2) < 1/(1.2)`
`1/(3 . 3) < 1/(2.3)`
`...`
`1/(50 . 50) < 1/(49 . 50)`
`⇒ B < 1/(1.2) + 1/(2.3) + ... + 1/(49 . 50)`
`1/(1.2) + 1/(2.3) + ... + 1/(49.50)`
`= 1/1 - 1/2 + 1/2 - 1/3 + ... + 1/49 - 1/50`
`= 1/1 - 1/50`
`= 50/50 - 1/50`
`= 49/50`
`Vì:`
`B < 49/50 < 1`
`⇒ B < 1`