Check if the following series are absolutely convergent, conditionally convergent, or divergent. (1 (-1 )n Vn3 + 1 + n+ 2 n=1 n2 + n + 1 is absolutely convergent. (ii) (-1)2. 227 + 5 n=1 4 + 2 is absolutely convergent. (iti) ( - 1) 2n2 + 3n+1\\ n=1 3n2 + 2n+ 1 is divergent. (iv) (-1) arctan(n) n=1 n3 +n+1 is conditionally convergent. ( v) > ( - 1 ) n ! 5 0 n=1