Nice Comparing, Which Is Larger? | You should learn this method!!!

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Nice Comparing, Which Is Larger? | You should learn this method!!!
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Could have raised to the power of 9900 both side and divide both side, no need to make video long any type olympiad in front of every video

Verdiw
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Sterling's Approximation: ln(n!)=n*ln(n)–n+O(ln(n))


Thus (100!)^(1/100)>(99!)^(1/99)

wes
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Easier:
(1/99) ln 99! vs (1/100) ln 100!
ln 99! vs (1-1/100) ln 100!
0 vs ln 100 - (1/100) ln 100!
ln 100! vs 100 ln 100
100! < 100^100

konstantinvorontsov