Examine the series
n=1∑∞(−1)n4n3−n3n2+5.
Which of the following correctly describes its convergence?
a) It diverges because its terms do not tend to 0 (the limit is 43).
b) It converges conditionally but not absolutely.
c) It converges absolutely by the Ratio Test since n→∞limanan+1=43<1.
d) It converges absolutely because the series of absolute values is a p-series with p>1.