Give an example of a pair of series with positive terms where lim n->[infinity] an bn = 0 and [infinity] bn n=1 diverges, but [infinity] an n=1 converges. Which of the following pairs (an, bn) is correct?

A) (1/n, 1/n2)
B) (1/n, 1/n)
C) (1/n2, 1/n)
D) (1/n2, 1/n2)