44. Assumptions Matter In 1829, Lejeune Dirichlet pointed out that the great French mathematician Augustin Louis Cauchy made a mistake in a published paper by improperly assuming the Limit Comparison Test to be valid for nonpositive series. Here are Dirichlet's two series: n=1 (-1)" √n n=1 (-1)" √n 1+ (-1)") √√n Explain how they provide a counterexample to the Limit Comparison Test when the series are not assumed to be positive.

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