How can you prove that $n+10\cos n$ diverges to infinity? I know how to use $M>0$, there exists $N$ greater than or equal to 0 such that...
2026-04-08 04:12:02.1775621522
Prove that $n+10\cos n$ diverges to infinity
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$$n + 10\cos n \geq n - 10$$ since $-1 \leq \cos n \leq 1$. Given $a_n$ and $b_n$ such that $a_n \geq b_n$ and $b_n$ diverges, can you show that $a_n$ diverges?