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Match each of the following with the correct statement. A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent. D. The series diverges.

`\sum_(n=1)^(\infty ) ((-3)^(n))/(n^(2))`

`\sum_(n=1)^(\infty ) ((-1)^(n+1))/(5n+5)`

`\sum_(n=1)^(\infty ) (-1)^(n+1)((2+n)2^(n))/((n^(2))4^(2n))`

`\sum_(n=1)^(\infty ) ((n+5)!)/(n!3^(n))`

`\sum_(n=1)^(\infty ) (sin(6n))/(n^(3))`