Apply the Ratio Test to ∑n=1∞n!⋅2n(2n)!\sum_{n=1}^{\infty} \frac{n! \cdot 2^n}{(2n)!}∑n=1∞(2n)!n!⋅2n. Compute limn→∞∣an+1an∣\lim_{n \to \infty} \left|\frac{a_{n+1}}{a_n}\right|limn→∞anan+1.
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