View source for Limit of x^a log(x)=0

==Theorem==
The following formula holds for $a \in \mathbb{C}$ with $\mathrm{Re}(a)>0$:
$$\displaystyle\lim_{x \rightarrow 0^+} x^a \log(x)=0,$$
where $\log$ denotes the [[logarithm]].

==Proof==

==References==
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Limit of log(x)/x^a=0|next=Euler-Mascheroni constant}}: $4.1.31$

[[Category:Theorem]]
[[Category:Unproven]]