`A = 1 + 1/2^2 + 1/3^2 + 1/4^2 + ... + 1/100^2`
`=> A - 1 = 1/2^2 + 1/3^2 + 1/4^2 + ... + 1/100^2`
`=> A - 1 < 1/(1.2) + 1/(2.3) + 1/(3.4) + ... + 1/(99.100)`
`=> A - 1 < 1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ... + 1/99 - 1/100`
`=> A - 1 < 1 - 1/100`
`=> A - 1 < 1`
`=> A <2`
Vậy `A<2`