Difference between revisions of "Logarithm diverges to negative infinity at 0 from right"
From specialfunctionswiki
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==References== | ==References== | ||
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Logarithm of 1|next=Logarithm at minus 1}}: 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]] | ||
Revision as of 07:18, 16 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
