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Determine the convergence or divergence of the series using any appropriate test. Identify the test(s) used.
If the given series is determined to be convergent using the Alternating Series Test, Ratio Test, or Root Test,
then justify whether it converges conditionally or absolutely (when applicable).
If the problem is a Telescoping Series or Geometric Series that converges, find the value of the infinite sum.
(a) sum_(n=1)^(infty ) (5n!+6)/(n!+1)
(a) sum_(n=1)^(infty ) ((-2)^(n+1))/(n^(5))
Show all work on your own paper! No Work=No Points!
1. Determine the convergence or divergence of the series using any appropriate test. Identify the test(s) used. If the given series is determined to be convergent using the Alternating Series Test, Ratio Test, or Root Test, then justify whether it converges conditionally or absolutely (when applicable). If the problem is a Telescoping Series or Geometric Series that converges, find the value of the infinite sum. 5n!+6 (-2)n+1 (a) a) n5 1 n!+1 n=1