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An alien creature lives forever. It is born as a youngling and after 1 month matures...

An alien creature lives forever. It is born as a youngling and after 1 month matures to an adult - from then on it produces two younglings every month. (In other words, an alien starts producing younglings every month starting two months after it was born). If there is initially just one alien and a n is the number of aliens after n months, what is lim n → ∞ a n + 1 / a n ?

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