Let \(f\) be an analytic function. Show that the successive derivatives of \(f\) at a point can never satisfy \[ |f^{(n)}(z)|>n!n^n \] for all \(n\).
Question
Math 6210 • Real Analysis
Spring 2020 • Question 7
Question
Spring 2020 • Question 7
Let \(f\) be an analytic function. Show that the successive derivatives of \(f\) at a point can never satisfy \[ |f^{(n)}(z)|>n!n^n \] for all \(n\).