EDB — 1VH

Exercises

1. [1VH]

   • Show that there is an unique continuous function$f:(-1,1)\to ℝ$ that satisfies

     $$f(x)=x\cos (f(x)).$$

   • Fixed $a,b$, show that there exist a finite number of continuous $f:(-a,b)\to ℝ$ satisfying

     $$f(x)=x\cos (f(x))\forall x\in (a,b).$$
   Solution 1

   [1VJ]↺↻