Which one of the following statements is true about the series the series from n equals 1 to infinity of the quotient of negative 1 raised to the nth power and n to the one half power ?

Question

Which one of the following statements is true about the series  ?

A	It is divergent.
B	It is absolutely convergent.
C	It is conditionally convergent.
D	Its sum is 0.

Answer 1

It is convergent by Leibnitz's Theorem, but the positive term series diverges by the Integral Test.

Therefore, conditionally convergent.