2.1.4 Prove that lim_{n??} sin n / n = 0. 2.1.5 Let {xn} be a bounded sequence and let {yn} be a sequence that converges to 0. Prove that the sequence {xn yn} converges to 0. 2.1.6 Prove that the following limits are 0. (Hint: use Theorem 2.1.6.) n + cos(n^2 ? 3)
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