Difference between revisions of "Logarithm diverges to negative infinity at 0 from right"
From specialfunctionswiki
(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...") |
|||
| Line 7: | Line 7: | ||
==References== | ==References== | ||
| − | * {{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 |
Revision as of 06:40, 4 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
