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

You are not logged in. #1 20130617 00:07:29
Limit0 or does not exist? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #2 20130617 00:16:59
Re: LimitYes, it is 0. Why should it not exist? 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 #3 20130617 00:24:02
Re: LimitYup. It is 0. Probably you mean there should be a sign (negative or positive) for infinity? Not needed in this case. Last edited by phanthanhtom (20130617 00:25:18) #4 20130617 00:33:29
Re: LimitOK ∞ or does not exist? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #5 20130617 01:10:49
Re: LimitHi; 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. #7 20130617 01:25:17
Re: LimitBut isn't it different from different directions?? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #8 20130617 01:30:20
Re: LimitThat is very good, I always forget that. You are correct. It is undefined. 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. #9 20130617 02:20:33
Re: LimitThe second limit does not exist,it would exist if absolute value was used. There are 10 kinds of people in the world,people who understand binary and people who don't. #10 20130617 02:27:25
Re: LimitOr if the denominator was x^{2} 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #11 20130617 02:29:00
Re: LimitThen I would say it is infinity, because it has the same limit from both sides. 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. #12 20130617 02:36:32
Re: LimitYes. I was adding an option to post 9 actually 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #13 20130617 02:39:01
Re: LimitMathematica believes the first limit is infinity. Something about a projective plane... 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. #14 20130617 02:41:41
Re: LimitOK but my কলনবিদ্যা (pronounced something like "Kalanbidya" meaning Calculus) book does not agree that #4 is infinity 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #15 20130617 02:46:15
Re: LimitWhich one is number 4? 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. #16 20130617 11:06:34
Re: LimitThe limit would also exist,if it was one sided limit. There are 10 kinds of people in the world,people who understand binary and people who don't. #17 20130617 11:28:44
Re: Limit
This is number 4 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #18 20130617 12:01:06
Re: LimitOh yes, I would say it is undefined. I was just mentioning that M does not agree. The Wiki page explains why but I do not understand. 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. #19 20130617 12:08:55
Re: LimitCould you please provide a link? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #20 20130617 12:16:26
Re: Limithttp://en.wikipedia.org/wiki/Limit_of_a_function
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. #21 20130617 12:29:42
Re: LimitWhich do you not understand? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #22 20130617 12:42:06
Re: LimitThe whole thing about why that limit now exists. 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. #23 20130617 13:56:27
Re: LimitDoes it exist? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #24 20130617 14:33:48
Re: LimitIn projective space there are 2 points at infinity in any direction,since 2 lines intersect in one point and a parallel line intersects both points at infinity,the two points are considered same,thus in case of real projective line infinity and nagetive infinity are the same points and the limit is simply infinity(or minus infinity,doesn't matters cause they're same) Last edited by {7/3} (20130617 14:38:01) There are 10 kinds of people in the world,people who understand binary and people who don't. 