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Determine Whether the Series Converges or Diverges n=1(1)nnsin(π3n)\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } n \sin \left( \frac { \pi } { 3 n } \right)

question 137

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Determine whether the series converges or diverges. n=1(1)nnsin(π3n)\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } n \sin \left( \frac { \pi } { 3 n } \right)

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