EDB — 1DZ

Exercises

1. [1DZ]Prerequisites:[1DM]↺↻. Find an example of function $f:ℝ\to ℝ$ with $f\in C^{\infty }$ and such that, setting $A=\{x:f(x)=0\}$, the point $0$ will be the only point of accumulation of $A$, i.e. $D(A)=\{0\}$. Compare this example with Prop. 6.8.4 in the notes [ 3 ] ; and with the example [1NQ]↺↻.

   Solution 1

   [1F0]↺↻