14/33< 15/34< 16/35< 17/36< 18/37
(2)
∫ 14/33-( 14+n)/(33+n)=[ 14(33+n)-33( 14+n)]/33(33+n)
=[ 14×33+ 14n-33× 14-33n]/33(33+n)
=[ 14n-33n]/33(33+n)& lt; 0
∴ 14/33<; ( 14+n)/(33+n)
(3)
∫b/a-(b+n)/(a+n)=[b(a+n)-a(b+n)]/a(a+n)
=[b×a+bn-a×b-an]/a(a+n)
=[bn-an]/a(a+n)
A b is a positive integer, a>b, ∴ an > Bn, where the above formula is less than zero.
∴b/a<; (b+n)/(a+n)