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lim(nrarroo) ((1^(k)+2^(k)+3^(k)+".........

`lim_(nrarroo) ((1^(k)+2^(k)+3^(k)+"......"n^(k)))/((1^(2)+2^(2)+"....."+n^(2))(1^(3)+2^(3)+"....."+n^(3))) = F(k)`, then `(k in N)`

A

`F(k)` is finite for`k le 6 (B)`

B

`F(5) = 0`

C

`F(6) = 12/7`

D

`F(6) = 5/7`

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The correct Answer is:
A, B, C
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