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Use the Integral Test to determine whether the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test

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Use the Integral Test to determine whether the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satised. 00 4 2 k=3k|n k E) Select the correct choice below and, if necessary, ll in the answer box to complete the choice. 00 4 The series converges because the conditions of the Integral Test are satised and I 2 3xln x -":j:- A. (Type an exact answer.) 00 4 The series diverges because the conditions of the Integral Test are satised and J- 2 3xlnx (Type an exact answer.) C. The Integral Test cannot be used since one or more of the conditions for the Integral Test is not satised

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