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Infinite Seriesmedium
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Apply the Ratio Test to ∑n=1∞3nn!\sum_{n=1}^{\infty} \frac{3^n}{n!}∑n=1∞​n!3n​. What is lim⁡n→∞∣an+1an∣\lim_{n \to \infty} \left|\frac{a_{n+1}}{a_n}\right|limn→∞​​an​an+1​​​?