please indicate with option is correct in each problem with a clear explanation, thanks..

Determine whether the sequence {an } con- O 1. converges with limit = 36 verges or diverges when O 2. diverges an = n(n - 6) , and if it converges, find the limit. O 3. converges with limit = 6 O 4. converges with limit = 0 O 5. converges with limit = 1To apply the root test to an infinite series an the value of 0 1. p = 0 2. p = 3 p = lim lal n-+00 0 3. p = 191 09 has to be determined. Compute the value of p for the series 0 4. p = 9 6n + 3 2n 2n 0 5. p =