Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #2 20130810 10:34:09
Re: limit0. I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #4 20130810 21:30:08
Re: limitIntuitively obvious that it approaches 0. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #5 20130810 22:02:09
Re: limit(capital pi symbol is for 'the product of' ) i/n ≤1 => the product is less than 1 as n approaches infinity 1/n approaches zero = the limit tends to zero Bob You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #6 20130817 01:58:41
Re: limitHi Bob The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #7 20130817 02:15:06
Re: limithi Stefy
aybe. y posts often have things issing. But what would you like e to include? You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #8 20130817 05:00:04
Re: limitTyping issues, sorry. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #9 20130817 05:27:29
Re: limitMaybe you should use the fact that (1/n) is one of the terms of the product and all of the others are one or less. Last edited by SteveB (20130817 05:29:12) #11 20130817 07:46:01
Re: limitI have shown that the product can be written As 1/n tends to zero as n tends to infinity, I claim the product tends to zero times something finite and therefore to zero. What's wrong with that? Bob You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #12 20130817 17:09:45
Re: limitI agree with Bob. My only criticism was a lack of clarity of the argument. I knew what you meant and it is okay as 