Proposition: Limits of Logarithm in $[0,+\infty]$

The limits of natural logarithm for $x\to\infty$ and $x\searrow 0$ are given by $$\lim_{x\to\infty}\ln (x)=\infty,$$ $$\lim_{x\searrow 0}\ln (x)=-\infty.$$

Proofs: 1


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References

Bibliography

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