EDB — 1M5

Exercises

1. [1M5]Prerequisites:[0G0]↺↻.

   Given \(z∈ℂ\), show that

   \begin{equation} \lim _{N→∞}\left(1+\frac z N\right)^ N=e^ z\label{eq:lim_ 1+l/n^ n} \end{equation}

   12

   and that the limit is uniform on compacts sets.

   Solution 1

   [1M6]↺↻