Can you help me with the following problems? For these questions, we have to use the ratio test to see if the eries converges or diverges, or state it is inconclusive.

an lan | equal? 4. Is the Root Test conclusive for -? Is it conclus 2n n=1 [ (1+ * ) ? an+1 an equal? tio Test? t to determine convergence or di- 0o n2 00 ( n!) 3 inconclusive. 17. 18. ( 2n + 1 )! n=1 n = 1 ( 3n) ! (-1 )n-In 2. 00 1 1 5n n=1 19. 2n + 1 20. Inn n=2 n=2 00 3n + 2 4. 5n3 + 1 n = 0 21. Show that > nk 3-" converges for all exponents k. n=1 6. 00 (0) 22. Show that ) n x" converges if |x| 2" x" converges if |x| nk converges? 16. n=1 (2n)