Roberto Abraham Scaruffi

Answer: Hint: show that n! > 4^n for sufficiently large n.​ (Do not use Stirlin.​.​.​ Top Stories from Your Feed Your Quora Digest

How do I show that factorials approach infinity much faster than exponential functions? Alon Amit, Mathcircler and Origamist. 32 votes Hint: show that  for sufficiently large . (Do not use Stirling's approximation or any such heavy tool. Use either induction or a simple comparison argument). What can you c... Read More » If complex numbers are imaginary, then what is their significance in the real world? Why should we study complex numbers? Steve Purtee, Mathematician, Physicist 729 votes The terms "real" numbers and "imaginary" numbers are horrible names, and we should really stop using them. Have you ever seen a 7 walking down the street? Of course not. ... Read More » What are some of the best travel locations that most people have never heard of? Eric Mueller, former startup guy, now traveler & ga... 536 votes Here's my #1 go-to: Cinque Terre, on the west coast of Italy. It's a series of five (cinque) tiny villages linked by hiking paths and a small train system. Almost no cars ... Read More » What did the German soldiers of WWII think of British, US, Canadian, and Soviet soldiers? Daniel Holland 2.3k votes I have had the benefit of having a frank, open, and long conversation with a survivor of the 276th Volksgrenadier Division. During this conversation, I asked him what his ... Read More » Conversations: Why do people always ignore me or cut me off and start talking to someone else? Julian Reisinger, Entrepreneur / Photographer / Student 1.7k votes A friend of mine has the exact same problem you have and I think you can learn a lot from his mistakes. I am trying to be as respectful as possible but some of the things ... Read More » What's the hardest part of being a PhD student? Gary Davies, Computational physics PhD student at ... 568 votes I've always felt that a PhD is a test of character and creativity rather than intellect. The reason PhD's are so hard for most people is that they have the intellect but ... Read More » Are some people better than others? Marcus Geduld, Shakespearean director, computer prog... 2.0k votes Bob and Eddy. Bob is a doctor (and a firefighter on the weekends) who gives half his salary to charity.  ... Read More » Why does 10 based math work so well (with multiplication and division especially)? David Joyce, always learning 47 votes Base two is much, much better for arithmetic than base 10, both for humans and computers. You don't have to memorize any addition or multiplication tables. Multiplication... Read More » For those who have had their DNA sequenced: what is the most interesting thing people have learned? Mira Zaslove, enjoy travel, photography, and negoti... 1.3k votes My husband, Jay Wacker, and I did 23andMe. I found the results surprisingly fun. The most interesting things I learned: ... Read More » Why do most Americans take a shower after they wake up in the morning? Kaiser Kuo, Director of International Communicati... 1k votes I'm an American-born Chinese who has lived in China for a total of over 20 years, so this is a question that I get all the time. Among everyday habits and, the shower-in-th... Read More »