Proof
(related to Proposition: Integral Test for Convergence)
By hypothesis, N\in\mathbb N is a non-negativ natural number (N\ge 1) and f:[N,\infty)\to\mathbb R is a monotonically decreasing and non-negative function.
"\Rightarrow"
"\Leftarrow"
Thank you to the contributors under CC BY-SA 4.0!

- Github:
-

References
Bibliography
- Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983