EDB — 1N5

Exercises

1. [1N5]Prerequisites:[1DM]↺↻.

   Verify that the function \(𝜑:ℝ→ℝ\)

   \[ 𝜑(x) = \begin{cases} e^{-1/x} & se ~ x{\gt}0 \\ 0 & se ~ x≤ 0 \end{cases} \]

   (also seen in [1DM]↺↻) is not analytic.

   Solution 1

   [1N6]↺↻