Just for fun, using numdif and your code for the Cantor function f(x) in Exercise 8.23, what happens when you try to compute numerical derivatives of f(x) at various x? Consider the difference...

Just for fun, using numdif and your code for the Cantor function f(x) in Exercise 8.23, what happens when you try to compute numerical derivatives of f(x) at various x?

Consider the difference equation yn+2 = yn + yn−1 with starting values all equal to 1. What is the limit of the ratio yn+1/yn as n → ∞?