Determine whether the series is divergent or convergent and find its sum.

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Any tips on how to start this would be great. I'm aware its not geometric but the answer key indicates it diverges, however I have no idea how to physically show that with this equation.$$\sum_{n=0}^\infty\tan\frac{3\pi n}4$$Perhaps the test for divergence is all I need to find the conclusion to this question?

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1 Answer

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The $n=2$ term is undefined (Mathematica's "complex infinity"), so the series diverges.

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