Question

Which of the following series is/are convergent by the alternating series test? (4 points)

I. the summation from n equals 1 to infinity of the quotient of negative 1 raised the n and the natural log of n
II. the summation from n equals 1 to infinity of the quotient of negative 1 raised the n plus 1 power and the quantity 4 times n squared plus 1
III. the summation from n equals 1 to infinity of the quotient of negative 1 raised the n plus 1 power times the quotient of n squared and n cubed plus 4

I only
II only
I and II only
I, II, and III