(1) (10 marks) Determine whether the following series are convergent or diver- gent. State clearly which test you are using. Do arctan n a ) n3 + 1 n= 1 00 el b) - n.2 n =1 Vn iM 8 n +4 d) ( 2n) ! nn n = 1 in+2 e) n= (Inn + 1)n