Consider the series
n=2∑∞2n7−n5n5+7.
Which statement about this series is correct?
a) It diverges because its terms behave like n1.
b) It converges because the terms approach 0 as n→∞.
c) It diverges by the Ratio Test since the limit of consecutive terms equals 1.
d) It converges by comparison with a p-series whose exponent satisfies p>1.