Consider the series sin (-) n=1 (a) Why does the direct comparison test fail to apply...

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Consider the series sin (-) n=1 (a) Why does the "direct comparison test" fail to apply in testing the convergence of this series? Explain. (b) Use the limit comparison test" to determine whether the series converges or diverges. Show work. State the conclusion. Consider the series sin (-) n=1 (a) Why does the "direct comparison test" fail to apply in testing the convergence of this series? Explain. (b) Use the limit comparison test" to determine whether the series converges or diverges. Show work. State the conclusion.