Difference between revisions of "Logarithm diverges to negative infinity at 0 from right"
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(Created page with "==Theorem== The following formula holds: $$\displaystyle\lim_{x \rightarrow 0^+} \log(x)=-\infty,$$ where $\displaystyle\lim_{x \rightarrow 0^+}$ denotes a limit from the ri...") |
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− | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Logarithm of 1|next=}}: 4.1.13 | + | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Logarithm of 1|next=Logarithm at minus 1}}: $4.1.13$ |
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+ | [[Category:Theorem]] | ||
+ | [[Category:Unproven]] |
Latest revision as of 17:26, 27 June 2016
Theorem
The following formula holds: $$\displaystyle\lim_{x \rightarrow 0^+} \log(x)=-\infty,$$ where $\displaystyle\lim_{x \rightarrow 0^+}$ denotes a limit from the right, $\log$ denotes the logarithm, and $-\infty$ denotes minus infinity.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.1.13$