Which of the following statements is true for the series the summation from k equals 1 to infinity of negative 1 raised to the k power over the product of the quantity 2 times k...

Question

Which of the following statements is true for the series  ?

A	The series converges conditionally but not absolutely.
B	The series is divergent.
C	The series cannot be tested because it does not start at k = 0.
D	The series converges absolutely.

Answer 1

This series divergent because lim (-1)^k(2k - 1)!/3! ≠ 0 (DNE)

k→∞