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Yardman

Joined: 12 Apr 2005
Posts: 245
Location: US
Yardman
[ Post removed by author. ]

Last edited by Yardman on 04 Apr 2012, 04:45; edited 1 time in total
15 Feb 2012, 07:24
MHajduk

Joined: 30 Mar 2006
Posts: 6038
Location: Poland
MHajduk
Hehe.
16 Feb 2012, 14:34
revolution
When all else fails, read the source

Joined: 24 Aug 2004
Posts: 17467
revolution
So:

lim(ⅹ→∞)[⅟(ⅹ-∞)] = 8
16 Feb 2012, 14:44
MHajduk

Joined: 30 Mar 2006
Posts: 6038
Location: Poland
MHajduk
Lovely math heresies.
16 Feb 2012, 14:50
Yardman

Joined: 12 Apr 2005
Posts: 245
Location: US
Yardman
[ Post removed by author. ]

Last edited by Yardman on 04 Apr 2012, 04:46; edited 1 time in total
18 Feb 2012, 03:24
Yardman

Joined: 12 Apr 2005
Posts: 245
Location: US
Yardman
[ Post removed by author. ]

Last edited by Yardman on 04 Apr 2012, 04:46; edited 1 time in total
18 Feb 2012, 03:24
DOS386

Joined: 08 Dec 2006
Posts: 1901
DOS386
Quote:
lim( ⅹ→8 )[⅟( ⅹ-8 )] = ∞

unless I'm missing something this is wrong ... the result is ambigious +∞ and -∞

should be:

23 Feb 2012, 06:39
mindcooler

Joined: 01 Dec 2009
Posts: 423
Location: Västerås, Sweden
mindcooler
Not ambiguous if x -> 8 is positive limit. But as the negative limit does not equal the negative limit, the entire limit is undefined.
23 Feb 2012, 15:40
DOS386

Joined: 08 Dec 2006
Posts: 1901
DOS386
mindcooler wrote:
Not ambiguous, x -> 8 is positive limit

???

Quote:
But as the negative limit does not equal the negative limit

???

Quote:
the entire limit is undefined.

That's what I said ... and fixed

One more:

Moved from Test to the HE**

Last edited by DOS386 on 23 Feb 2012, 15:45; edited 1 time in total
23 Feb 2012, 15:43
mindcooler

Joined: 01 Dec 2009
Posts: 423
Location: Västerås, Sweden
mindcooler
I edited my post, should be a "+" if it is the positive limit, so the limit is actually undefined in the example.
23 Feb 2012, 15:45
DOS386

Joined: 08 Dec 2006
Posts: 1901
DOS386
> I edited my post

still strange
23 Feb 2012, 15:46
mindcooler

Joined: 01 Dec 2009
Posts: 423
Location: Västerås, Sweden
mindcooler

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23 Feb 2012, 15:52
Tomasz Grysztar

Joined: 16 Jun 2003
Posts: 7751
Location: Kraków, Poland
Tomasz Grysztar
mindcooler wrote:
Not ambiguous if x -> 8 is positive limit. But as the negative limit does not equal the negative limit, the entire limit is undefined.
It is defined if you take the compactification of real numbers, which results in real projective line which has only one infinity.

Projective spaces are nice.
23 Feb 2012, 15:55
mindcooler

Joined: 01 Dec 2009
Posts: 423
Location: Västerås, Sweden
mindcooler
That's a big if
23 Feb 2012, 16:01
DOS386

Joined: 08 Dec 2006
Posts: 1901
DOS386
> http://en.wikipedia.org/wiki/One-sided_limit

The original example is NOT written as One-sided_limit

> It is defined if you take the

Nice, but my fix is simpler
23 Feb 2012, 16:01
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