Limes against eternity xD

entropie · 08-27-2008, 01:33 AM

Ok, one for you. If you already know the solution, do not spoil it. If you have found it out by yourself, you can post it via this one:

Optimath - Formeleditor f

Just have to click on "Erzeugen"(Create) and then you can right click the formula, it is an image. You can get its URL via properties and post that as an image here.

--------

The question is, what is the solution to:

Maybe an easy one, maybe not, Good luck tho !

Colors · 08-27-2008, 02:02 AM

? I don't see the formula anywhere on the page.??? Or am I looking for the answer?

entropie · 08-27-2008, 02:09 AM

There may be problems with the image. I downloaded it and uploaded it on imagehost.

Do you see it now ?

Colors · 08-27-2008, 02:25 AM

lim [1 + 1/n]^n ?
n-> oo

(1?)

This is cool. I used to have to type out math problems on Microsoft Word trying to find the symbols and line them up using different font sizes.

entropie · 08-27-2008, 03:05 AM

That is a good start ! But 1 isn't the result. I give you a hint, try the sentence of L'Hospital.

entropie · 08-29-2008, 12:08 AM

ok then, I see I have more fun with this than anyone, I will solve it:

ygolo · 08-29-2008, 12:38 AM

You and I would be great friends in real life entropie.

Just to add onto the point...

One can interpret what is happening is the limit of model for "growth" through compounding split over n periods.

If n=2, (1.5)^2=2.25
If n=3, (1.333...)^3= 2.370370...
If n=4, (1.25)^4=2.44140625 (and change)
.
.
.
So you can interpret e as the result instantaneous compounding done by splitting the growth into infinitely small compoundings split over infinite number of times.

08-27-2008, 01:33 AM	#1 (permalink)
entropie Liasion man in Amsterdam Join Date: Apr 2008 Type: entq Location: Bochum, Germany Posts: 5,205	Limes against eternity xD Ok, one for you. If you already know the solution, do not spoil it. If you have found it out by yourself, you can post it via this one: Optimath - Formeleditor f Just have to click on "Erzeugen"(Create) and then you can right click the formula, it is an image. You can get its URL via properties and post that as an image here. -------- The question is, what is the solution to: Maybe an easy one, maybe not, Good luck tho ! __________________ pocket estj Enneagram: 3w4 "Now is the dramatic moment of fate, Watson, when you hear a step upon the stair which is walking into your life, and you know not whether for good or ill." ~Sir Arthur Conan Doyle [Mind.in.a.Box] -------

08-27-2008, 02:02 AM	#2 (permalink)
Colors Metalife Join Date: Apr 2007 Type: ISTP Location: Among the jasmine Posts: 1,051	? I don't see the formula anywhere on the page.??? Or am I looking for the answer? __________________ "In their youth, no one realizes that the trees that stretch into the sky are, at the same time, sending their roots deeper and deeper into the earth." - Noriko Ogiwara

08-27-2008, 02:09 AM	#3 (permalink)
entropie Liasion man in Amsterdam Join Date: Apr 2008 Type: entq Location: Bochum, Germany Posts: 5,205	There may be problems with the image. I downloaded it and uploaded it on imagehost. Do you see it now ? __________________ pocket estj Enneagram: 3w4 "Now is the dramatic moment of fate, Watson, when you hear a step upon the stair which is walking into your life, and you know not whether for good or ill." ~Sir Arthur Conan Doyle [Mind.in.a.Box] -------

08-27-2008, 02:25 AM	#4 (permalink)
Colors Metalife Join Date: Apr 2007 Type: ISTP Location: Among the jasmine Posts: 1,051	lim [1 + 1/n]^n ? n-> oo (1?) This is cool. I used to have to type out math problems on Microsoft Word trying to find the symbols and line them up using different font sizes. __________________ "In their youth, no one realizes that the trees that stretch into the sky are, at the same time, sending their roots deeper and deeper into the earth." - Noriko Ogiwara

08-27-2008, 03:05 AM	#5 (permalink)
entropie Liasion man in Amsterdam Join Date: Apr 2008 Type: entq Location: Bochum, Germany Posts: 5,205	That is a good start ! But 1 isn't the result. I give you a hint, try the sentence of L'Hospital. __________________ pocket estj Enneagram: 3w4 "Now is the dramatic moment of fate, Watson, when you hear a step upon the stair which is walking into your life, and you know not whether for good or ill." ~Sir Arthur Conan Doyle [Mind.in.a.Box] -------

08-29-2008, 12:08 AM	#6 (permalink)
entropie Liasion man in Amsterdam Join Date: Apr 2008 Type: entq Location: Bochum, Germany Posts: 5,205	ok then, I see I have more fun with this than anyone, I will solve it: __________________ pocket estj Enneagram: 3w4 "Now is the dramatic moment of fate, Watson, when you hear a step upon the stair which is walking into your life, and you know not whether for good or ill." ~Sir Arthur Conan Doyle [Mind.in.a.Box] -------

08-29-2008, 12:38 AM	#7 (permalink)
ygolo My termites win Join Date: Aug 2007 Type: intp Location: North of somewhere (so not the south pole) Posts: 3,203	You and I would be great friends in real life entropie. Just to add onto the point... One can interpret what is happening is the limit of model for "growth" through compounding split over n periods. If n=2, (1.5)^2=2.25 If n=3, (1.333...)^3= 2.370370... If n=4, (1.25)^4=2.44140625 (and change) . . . So you can interpret e as the result instantaneous compounding done by splitting the growth into infinitely small compoundings split over infinite number of times. __________________ sloan+ Rxua\|I\|; primary Inquisitive; R(82%)L(52%)U(62%)A(54%)I(86%) CTO of IPTN (see Maverick's Sig.) and member of Maverick's Biker Club. Accept the past. Live for the present. Look forward to the future. My Blog I linked some of your blogs; if you feel that is inappropriate, please let me know.

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