Let be an integer with for . Show where where the logs are to the base 2. I've tried using the binomial tail but can't get this to work...
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Originally Posted by Boysilver Let be an integer with for . Show where where the logs are to the base 2. I've tried using the binomial tail but can't get this to work... This is a consequence of Stirling's approximation formula, in a weaker form: (log in base e). Write , take logarithms, use (hence ) and the above formula. After simplifications, you'll get your formula (i.e. )
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