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- $\sqrt{z}$
- $\log z$
- $\mathrm{erf}(z)$, the antiderivative of the gaussian $e^{-z^2/2}$
- - $e^{1/z}$
+ - $e^{1/z}$
+
What is the growth rate of the magnitude of these functions as $z \to \infty$ along the real axis? The imaginary axis? How does the argument change?