Let N be the set of Z^+ , forall n in N ...

Let N be the set of `Z^+ , forall n in N ` Let `f(n)=(n+1)^(1/3)-n^(1/3) and A={n in N :f_(n+1) lt 1/(3(n+1)^(2/3) )ltf_n}` then

A

A=N

B

A is finite set

C

Complement of A in N is nonempty but finite

D

A and it's complement is N are both finite

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