Hi, I'm struggling with question 9 in the image below.

Problem 16.6. Study the convergence of the following series: 1=1 (-1)mm. (8) +DO +Do n=1 (n+1)!' (9) S too sin n 42+sin(n" )n-1 100 5 1=1 n' +cos(n-)n'+2 +00 on+2 MMMMMMM 1=1 10 m . (10) sin no com( n) +00 60 +0o ( V7)" +00 sing( n-1 (11) > (2n+3)!' (7) (12) =1 (n+1)! ' (6n+1)