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[BIVES]

1. 1/(2^2)+1/(3^2)+...+1/(n^2)<1/4+1/(3*2)+1/(4*3)+...+1/(n*(n-1))=1/4+(1/2-1/3)+
+(1/3-1/4)+...+(1/(n-1)-1/n)=1/4+1/2-1/n<3/4.