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.

"$\Rightarrow$"

"$\Leftarrow$"


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References

Bibliography

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