设[x]表示不超过x的最大整数(如[2]=2, []=1),对于给定的nN*,

设[x]表示不超过x的最大整数(如[2]=2, []=1),对于给定的nN*,定义

x,则当x时,函数的值域是

A.                                             B.

C.                              D.              

答案

D解析:

当x∈[,2),

[x]=1,=.

由单调性:4<.

当x∈[2,3),

[x]=2,,

∵2≤x(x-1)<6,

由单调性:≤28.

综上,选D.

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