EDB — 1DZ

Exercises

1. [1DZ]Prerequisites:[1DM]↺↻. Find an example of function \(f:ℝ→ℝ\) with \(f∈ C^∞\) 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]↺↻