# 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.

$1 - \dfrac1{1 - \dfrac1{1 - \dfrac1{1 - \ddots }}}$