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Let NN be the set of positive integers. ...

Let `NN` be the set of positive integers. For all `n in NN`, let `f_n=(n+1)^(1/3)-n^(1/3)` and `A={n in NN:f_(n+1)<1/(3(n+1)^(2/3))`

A

A =`NN`

B

A is a finite set

C

the complement of A in `NN` is nonempty, but finite

D

A and its complement in `NN` are both infinite

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