Apply the root test to the following series. lim n→∞ lim n→∞ 1 Σ(¹+)* 1+ 3n a. Compute the root and its limit. Simplify the root. Give an exact answer for the limit if it is a number. Otherwise, enter ∞ if the limit is infinite, or enter DNE if the limit does not exist in another way. |an| -n n=1 Conclusion: ? b. Based on your answer in Part a., determine whether the series converges, diverges, or that the root test is inconclusive. because the limit in Part a. is? ŵ

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