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 February 21st, 2019, 01:20 PM #1 Newbie   Joined: Feb 2019 From: San Diego, CA Posts: 3 Thanks: 0 Math Focus: Everything 1/(1+1/(2+1/(3+1/(4+1/(5+1/...))))) What is the following expression's value? $\displaystyle \frac{1}{1 + \frac{1}{2 + \frac{1}{3 + \frac{1}{4 + \frac{1}{5 + \frac{1}{...}}}}}}$ Last edited by skipjack; February 21st, 2019 at 07:22 PM.
 February 21st, 2019, 09:00 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,386 Thanks: 2012 0.697774657964... (see this W|A link) Thanks from topsquark and SenatorArmstrong
February 22nd, 2019, 01:41 PM   #3
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How did you prove it?

Quote:
 Originally Posted by skipjack 0.697774657964... (see this W|A link)
How did you prove it?

 February 22nd, 2019, 08:14 PM #4 Global Moderator   Joined: Dec 2006 Posts: 20,386 Thanks: 2012 I didn't prove it. I just used Google.
March 3rd, 2019, 07:32 PM   #5
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Joined: Feb 2019
From: San Diego, CA

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Quote:
 Originally Posted by skipjack I didn't prove it. I just used google.
Prove it.

Last edited by skipjack; March 19th, 2019 at 05:20 PM.

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