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Recent questions tagged factorial

0 votes
1 answer
1
Mid exam
Hi everyone! I've been recently asked by one of my friends to prove an equation but still, I'm confused how to get it started tho. log(n!) = Ω(nlog(n)) Does anyone know how to help? I'll be very grateful if someone comes to reply to my issue. Thanks in advance.
Hi everyone!I've been recently asked by one of my friends to prove an equation but still, I'm confused how to get it started tho.log(n!) = Ω(nlog(n))Does anyone know ho...
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0 votes
1 answer
2
ISI2017-MMA-7
Let $n \geq 3$ be an integer. Then the statement $(n!)^{1/n} \leq \dfrac{n+1}{2}$ is true for every $n \geq 3$ true if and only if $n \geq 5$ not true for $n \geq 10$ true for even integers $n \geq 6$, not true for odd $n \geq 5$
Let $n \geq 3$ be an integer. Then the statement $(n!)^{1/n} \leq \dfrac{n+1}{2}$ istrue for every $n \geq 3$true if and only if $n \geq 5$not true for $n \geq 10$true fo...
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3 votes
0 answers
4
Test Series
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