Hi,

I had my exam about a week ago, and here's one problem from it.

For which values of can we use the fixed-point iteration to solve the following equation,

?

I know the fixed-point iteration will converge if for all . I get,

, and so . From this I conclude that .

I now define two function, and . When , a solution exists when , that is when .

Something smells here, but I don't know what. Hints are very welcome!