Question

一道数学题：

设n是正整数，且使得：
1/1+n + 1/3+n + 1/6+n ＞ 19/36
求n最大值。

Answer 1

19/36=1/(1+3 )+1/(3+3)+1/(6+3)
1/(1+n )+1/(3+n)+1/(6+n)>1/(1+3 )+1/(3+3)+1/(6+3)
n<3
n<=2
n=2