009C Sample Midterm 3, Problem 4

Test the series for convergence or divergence.

(a)  ${\displaystyle \sum _{n=1}^{\infty }}\,(-1)^{n}\sin {\frac {\pi }{n}}$

(b)  ${\displaystyle \sum _{n=1}^{\infty }}\,(-1)^{n}\cos {\frac {\pi }{n}}$

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