Ramanujan’s infinite root and its crazy cousins

In this video I’ll talk about Ramanujan’s infinite roots problem, give the solution to my infinite continued fraction puzzle from a couple of week’s ago, and let you in on the tricks of the trade when it comes to making sense of all those crazy infinite expressions. Featuring guest appearances by Vihart’s infinite Wau fraction, the golden ratio and the Mandelbrot set. Here is a link to a screenshot of Ramanujan’s original note about his infinite nested radical puzzle: Check out the following videos referred to in this video: Mathologer video on Ramanujan and 1 2 3 ...=-1/12. This one also features an extended discussion of assigning values to infinite series in the standard and a couple of non-standard ways Mathologer video on infinite fractions and the most irrational of all irrational numbers. Mathologer video on the Mandelbrot set. The