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True or False?
\quad The series ∑n=1∞(cos(πn)−cos(πn+2)) \displaystyle \sum_{n=1}^\infty \left ( \cos\left( \dfrac \pi n\right) - \cos\left( \dfrac \pi{n+2}\right) \right) n=1∑∞(cos(nπ)−cos(n+2π)) converges.
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