Consider the series n=1∑∞n3/2(−1)n5. Which statement best describes its convergence?
a) It converges conditionally because the corresponding positive-term series diverges.
b) It diverges because the exponent satisfies p<1.
c) It converges absolutely because the corresponding positive-term series has p>1.
d) It diverges because ∫1∞x3/25dx diverges by the Integral Test.