Logarithm diverges to negative infinity at 0 from right

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.

References

• 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous): 4.1.13