Convergence Divergence

Calculus Level 3

Which of the following is false?

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

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

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

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

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