Gsuppose that we have decided to investigate the convergence or divergence of the series ∑n=1[infinity]1n3n using the direct comparison test. select all of the statements below that are true. a. the given series diverges since 13n≤1n3n for n≥1 and ∑[infinity]n=113n is a divergent geometric series. b. the given series diverges since 1n3n≤13n for n≥1 and ∑[infinity]n=113n is a divergent p-series (p=3). c. the given series converges since 1n3n≤(13)n for n≥1 and ∑[infinity]n=1(13)n is a convergent geometric series. d. the given series diverges since 1n3n≤1n for n≥1 and ∑[infinity]n=11n is the divergent harmonic series.