Quiz: Infinite Continued fractions
At the SouthWest Fox speaker dinner we were talking about continued (or infinite) fractions.
I posed this question:
What does this expression evaluate to?
1 + 1
_________
1 + 1
________
1 + 1
_______
1 + 1
______
1 + 1
…
Clue: It’s adding some positive value to 1, so it must be larger than one. The thing it’s adding is the reciprocal of some number larger than 1 so….