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Re: Intersting math challenge

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AbstractMath is not online. AbstractMath
Joined: 05 May 2012
Total Posts: 1331
14 Mar 2017 07:41 PM
What does x approach, as you continue this recursive formula to infinity? x = #### # ####### # ####### # ########## (Yes, there is an answer.)
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AbstractMath is not online. AbstractMath
Joined: 05 May 2012
Total Posts: 1331
14 Mar 2017 07:42 PM
Or not. Thank you, roblox.
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AbstractMath is not online. AbstractMath
Joined: 05 May 2012
Total Posts: 1331
14 Mar 2017 07:43 PM
GjYyeh9F

(pastebin)
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tengent is not online. tengent
Joined: 12 Nov 2016
Total Posts: 1006
14 Mar 2017 07:49 PM
-1/12
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Intended_Pun is not online. Intended_Pun
Joined: 10 Aug 2016
Total Posts: 4384
14 Mar 2017 07:51 PM
That was intersting.
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Tynezz is not online. Tynezz
Joined: 28 Apr 2014
Total Posts: 4945
14 Mar 2017 08:33 PM
Isn't this just an infinite series? Just determine if the series converges and if it does, find it's value.
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AbstractMath is not online. AbstractMath
Joined: 05 May 2012
Total Posts: 1331
14 Mar 2017 09:30 PM
It is not a series. And if you try to plug this into a calculator, you will find that it's undefined. Here's a hint. The answer is not a real number.
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Pinkerten is not online. Pinkerten
Joined: 03 Aug 2014
Total Posts: 840
14 Mar 2017 09:41 PM
x = 2/pi -- easy
* ln(2/pi -- tf is ln

* ln(2/pi -- stop this

* ln(...))) -- magic dots?
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cowsoncows is not online. cowsoncows
Joined: 11 Oct 2013
Total Posts: 2522
14 Mar 2017 09:52 PM
The answer's 4.
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AbstractMath is not online. AbstractMath
Joined: 05 May 2012
Total Posts: 1331
14 Mar 2017 10:03 PM
^The dots means the recursion continues to infinity.



Clearly, nobody is going to find the answer, so I'll tell you, and prove it.

(Since roblox doesn't like for me to write slashes, I'll use a = 2 / pi.)

Okay, so x = a * ln( a * ln( a * ln(...))) off to infinity, so what difference would it make if we wrote x = a * ln(x)? Well, it wouldn't really. Well, now all we have to do is solve for x. (From this point on, I'll stop using a, because I don't need to write any 2 / pi) Well, we can just multiply both sides by pi, so we get pi * x = 2 * ln(x). We can of course use a logarithm property to get pi * x = ln(x^2). Now just raise e to the power of both sides. e ^ (pi * x) = x ^ 2. If you don't realize this by now, it's okay, but, what we have here is Euler's Identity! The imaginary unit is a solution for x. e ^ (i * pi) = (i ^ 2). So, the formula approaches i. I don't know about you guys, but this absolutely blew my mind.
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Pinkerten is not online. Pinkerten
Joined: 03 Aug 2014
Total Posts: 840
19 Mar 2017 09:15 PM
Who yolfd u
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Wunder_Wulfe is online. Wunder_Wulfe
Joined: 13 Sep 2016
Total Posts: 8356
19 Mar 2017 09:18 PM
ln( x ) is log( x )/log( e ) aka log base e of x
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Tynezz is not online. Tynezz
Joined: 28 Apr 2014
Total Posts: 4945
21 Mar 2017 03:16 PM
cringe at op's username, reminds me of that thread about mp3 or something
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KapKing47 is not online. KapKing47
Joined: 09 Sep 2012
Total Posts: 5522
21 Mar 2017 03:33 PM
Pinker, In() from what I recall is the factorial of the number given (Look it up) basically... 5! = 5 # # # # # # # 1 If I remember correctly (Never had to use factorials before).
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Unsubtleties is not online. Unsubtleties
Joined: 28 Nov 2016
Total Posts: 9203
21 Mar 2017 03:38 PM
no it's not


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KapKing47 is not online. KapKing47
Joined: 09 Sep 2012
Total Posts: 5522
21 Mar 2017 04:54 PM
Unsub, I thought it was last time I checked :/ Correct me


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cntkillme is not online. cntkillme
Joined: 07 Apr 2008
Total Posts: 44956
21 Mar 2017 05:36 PM
ln(n) gives you the exponent to raise e to the power to get n.

math.exp(ln(n)) = n
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KapKing47 is not online. KapKing47
Joined: 09 Sep 2012
Total Posts: 5522
21 Mar 2017 06:03 PM
I must have been asleep then when I was using a calculator :O Srsly, I didn't even see the n! button on the calculator and now I checked and saw it... my bad.


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