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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