Plus And Minus
Calculus
Level
2
\[ 1 + \dfrac1{1 + \dfrac1{1 + \dfrac1{1 + \ddots }}} \]
The value of the infintely nested fraction above is equal to \( \dfrac{1+\sqrt5}2 \). Find the value of the infinitely nested fraction below.
\[ 1 - \dfrac1{1 - \dfrac1{1 - \dfrac1{1 - \ddots }}} \]
Give your answer to 3 decimal places.
If you think that this number is a finite non-real number, submit your answer as 12345.
If you think that this number that does not converge (doesn't exist), submit your answer as 67890.
by
Pi Han Goh