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-   -   1/(1+1/(2+1/(3+1/(4+1/(5+1/...))))) (http://mymathforum.com/algebra/345831-1-1-1-2-1-3-1-4-1-5-1-a.html)

chalkcyanchalkwhite February 21st, 2019 01:20 PM

1/(1+1/(2+1/(3+1/(4+1/(5+1/...)))))
 
What is the following expression's value?

$\displaystyle \frac{1}{1 + \frac{1}{2 + \frac{1}{3 + \frac{1}{4 + \frac{1}{5 + \frac{1}{...}}}}}}$

skipjack February 21st, 2019 09:00 PM

0.697774657964... (see this W|A link)

chalkcyanchalkwhite February 22nd, 2019 01:41 PM

How did you prove it?
 
Quote:

Originally Posted by skipjack (Post 606123)
0.697774657964... (see this W|A link)

How did you prove it?

skipjack February 22nd, 2019 08:14 PM

I didn't prove it. I just used Google.

chalkcyanchalkwhite March 3rd, 2019 07:32 PM

Quote:

Originally Posted by skipjack (Post 606167)
I didn't prove it. I just used google.

Prove it.


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