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3 problems match “squeeze theorem”. Clear

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1. Limit with sine of factorial ●○○○○ 10 ptsEvaluate $\lim_{n\to\infty}\frac{n^{1/3}\sin(n!)}{1+n}$.
2. Limit of n factorial over n to the n ●●○○○ 20 ptsFind $\lim_{n \to \infty} \frac{n!}{n^n}$.
3. Limit of a ratio of factorial sums ●●○○○ 20 ptsFind $\lim_{n\to\infty}\frac{1!+2!+\cdots+n!}{n!}$.