$\lim_{n \to \infty} \frac{n + \sin(n) + 1}{n + \cos(n) + 2}$
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$$\lim_{n \to \infty} \left( \frac{n + sin(n) + 1}{n + cos(n) + 2} \right) = \lim_{n \to \infty} \left( \frac{1 + \frac{sin(n)}{n} + \frac{1}{n}}{1 + \frac{cos(n)}{n} + \frac{2}{n}} \right)$$ Show more…
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