Convergence Divergence

Calculus Level 3

Which of the following is false?

A: n=1sin1n\quad \displaystyle \sum_{n=1}^{\infty} \sin\dfrac{1}{n} diverges.

B: n=1sin1n2\quad \displaystyle \sum_{n=1}^{\infty} \sin\dfrac{1}{n^2} converges.

C: n=1cos1n\quad \displaystyle \sum_{n=1}^{\infty} \cos\dfrac{1}{n} diverges.

D: n=1cos1n2\quad \displaystyle \sum_{n=1}^{\infty} \cos\dfrac{1}{n^2} converges.

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