Basic Analysis I — Real Analysis · Problem 2.2.5

Sequences and Series — Jiri Lebl

Mathematics — Real Analysis · limits-and-inequalities

Problem

Let xn:=n−cos⁡(n)nx_n := \dfrac{n - \cos(n)}{n}. Use the squeeze lemma to show that {xn}n=1∞\{x_n\}_{n=1}^\infty converges and find the limit.

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