Tuesday, 16 August 2016

limits - Prove that limlimitsntoinftyfracxnn!=0, xinBbbR.

Why is





lim




Can we generalize it to any exponent x \in \Bbb R? This is to say, is




\lim_{n \to \infty} \frac{x^n}{n!}=0\text{ ?}








This is being repurposed in an effort to cut down on duplicates, see here: Coping with abstract duplicate questions.



and here: List of abstract duplicates.

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