binomial limit (1 Viewer)

synthesisFR

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Ok so its not a 4u question
WHY TF WOULD this person put it in the extension 2 thread i almost was gonna drop 4U looking at this working out
 

synthesisFR

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The gamma function is just a continuous version of factorial and the digamma and trigamma just come from the derivatives.

The hardest function that appeared was the hyperfactorial but I got rid of it pretty quickly by using l'Hospital rule.

That's a nifty rule to use - even for much simpler questions.
do u do maths at uni?
 

Average Boreduser

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idk bruh. It's pretty damn simple 🤓 just limit properties and gamma function is just a continuous version of factorial and the digamma and trigamma just come from the derivatives. hardest function that appeared was the hyperfactorial but I got rid of it pretty quickly by using l'Hospital rule.
That's a nifty rule to use - even for much simpler questions. But realistically speaking if ur doing 4U and u cant even do smn as simple as that bruh 💀 good luck bud. 🤓🤓🤓🤓🤓
 

s97127

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Here is another method using the Stolz–Cesàro theorem. It starts the same as the first method but then goes in a completely different direction, nevertheless ending up at the same answer.

Method 3.



Someone gives me this solution using Stolz Cesaro as well but i don't really get it. Can you please write down a detailed solution for me? Thanks
 

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