2013-06-17T04:33:48ZFluxBBhttp://www.mathisfunforum.com/viewtopic.php?id=19639In 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)]]>http://www.mathisfunforum.com/profile.php?id=1983882013-06-17T04:33:48Zhttp://www.mathisfunforum.com/viewtopic.php?pid=274352#p274352Does it exist?]]>http://www.mathisfunforum.com/profile.php?id=959042013-06-17T03:56:27Zhttp://www.mathisfunforum.com/viewtopic.php?pid=274350#p274350The whole thing about why that limit now exists.]]>http://www.mathisfunforum.com/profile.php?id=337902013-06-17T02:42:06Zhttp://www.mathisfunforum.com/viewtopic.php?pid=274341#p274341Which do you not understand?]]>http://www.mathisfunforum.com/profile.php?id=959042013-06-17T02:29:42Zhttp://www.mathisfunforum.com/viewtopic.php?pid=274340#p274340http://en.wikipedia.org/wiki/Limit_of_a_function
It starts with this line:
In contrast, when working with the projective real line, infinities (much like 0) are unsigned, so, the central limit does exist in that context:
]]>http://www.mathisfunforum.com/profile.php?id=337902013-06-17T02:16:26Zhttp://www.mathisfunforum.com/viewtopic.php?pid=274339#p274339Could you please provide a link?]]>http://www.mathisfunforum.com/profile.php?id=959042013-06-17T02:08:55Zhttp://www.mathisfunforum.com/viewtopic.php?pid=274338#p274338Oh 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.]]>http://www.mathisfunforum.com/profile.php?id=337902013-06-17T02:01:06Zhttp://www.mathisfunforum.com/viewtopic.php?pid=274337#p274337Agnishom wrote:
OK
∞ or does not exist?
This is number 4
]]>http://www.mathisfunforum.com/profile.php?id=959042013-06-17T01:28:44Zhttp://www.mathisfunforum.com/viewtopic.php?pid=274335#p274335The limit would also exist,if it was one sided limit.]]>http://www.mathisfunforum.com/profile.php?id=1983882013-06-17T01:06:34Zhttp://www.mathisfunforum.com/viewtopic.php?pid=274334#p274334Which one is number 4?]]>http://www.mathisfunforum.com/profile.php?id=337902013-06-16T16:46:15Zhttp://www.mathisfunforum.com/viewtopic.php?pid=274329#p274329OK but my কলনবিদ্যা (pronounced something like "Kalanbidya" meaning Calculus) book does not agree that #4 is infinity]]>http://www.mathisfunforum.com/profile.php?id=959042013-06-16T16:41:41Zhttp://www.mathisfunforum.com/viewtopic.php?pid=274327#p274327Mathematica believes the first limit is infinity. Something about a projective plane...]]>http://www.mathisfunforum.com/profile.php?id=337902013-06-16T16:39:01Zhttp://www.mathisfunforum.com/viewtopic.php?pid=274325#p274325Yes. I was adding an option to post 9 actually]]>http://www.mathisfunforum.com/profile.php?id=959042013-06-16T16:36:32Zhttp://www.mathisfunforum.com/viewtopic.php?pid=274322#p274322Then I would say it is infinity, because it has the same limit from both sides.]]>http://www.mathisfunforum.com/profile.php?id=337902013-06-16T16:29:00Zhttp://www.mathisfunforum.com/viewtopic.php?pid=274318#p274318Or if the denominator was x[sup]2[/sup]]]>http://www.mathisfunforum.com/profile.php?id=959042013-06-16T16:27:25Zhttp://www.mathisfunforum.com/viewtopic.php?pid=274317#p274317