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(Solved): Use the Root Test to determine if the series \sum_(n=1)^(\infty ) ((2n^(2)+5)/(4n^(2)+1))^(3n) conve ...
Use the Root Test to determine if the series \sum_(n=1)^(\infty ) ((2n^(2)+5)/(4n^(2)+1))^(3n) converges or diverges.
(2 points)
Extra Credit: (1 point)
Does the series \sum_(n=0)^(\infty ) ((-1)^(n))/(n^(3)-5n+9) converge absolutely or conditionally? Why?