finding and asymptotic expansion for a function $f(z)$ as $z \to a$ where $f(z)$ has a branching singularity at $z=a$

Question

I think looking at a particular example would be very helpful for me; let's take this example : What is an asymptotic expansion for the function $$f(z)=e^{\sqrt{z}}$$ as $z \to 0$ ? If it matters at all, I am taking the negative real axis as the branch cut for $\sqrt{z}$. any help is appreciated