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Determine whether each of the following series converges or not. (Name the test you use. You...

Determine whether each of the following series converges or not. (Name the test you use. You do not have to evaluate the sums of these series). Please write as big and neatly as possible in your answer, demonstrating all steps.

a) Sum infinity n = 1 of square root n/n^3+1

b) Sum infinity n = 2 of 1/nln(n)

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