Nested Radicals (5)

Finally! Rad Chad now has the perfect model! Not only that, but we learned things on the way:

• Models aren't always accurate, even if you check your work.

• Zero is a peculiar number; always check to see if it is an exception.

• There is typically more than one way to solve a problem.

• Infinity isn't that hard to tackle if you tackle the finite, first.

Now, what is Chad's new piecewise model for $y=\sqrt{x+\sqrt{x+\sqrt{x+\dots}}}$ ?

See the whole set .