Does the series (sum_n=1[infinity] f(4ⁿ(n !)ⁿ .(nⁿ )²) converge or diverge?
1) The root test is inconclusive, but the series converges
2) The root test is inconclusive, but the series diverges
3) The root test is conclusive, and the series converges
4) The root test is conclusive, and the series diverges