问题 选择题
设数列{an}满足an=
bn-b-4(n≤3)
log2n(n>3)
(n∈N+),若数列{an}是递增数列,则b的范围是(  )
A.(0,3)B.(0,2+
1
2
log23
C.(1,3]D.(0,2+
1
2
log23
]
答案

∵数列{an}是递增数列,

∴数列{an},满足,

b>0
3b-b-4≤log23

b>0
b≤2+
1
2
log23

∴0<x≤2+

1
2
log23,

即实数a的取值范围是(0,2+

1
2
log23],

故选:D.

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