Let us suppose we have a function such that
$$z = e^{1/ab} - 1$$
Where we have two free parameters, a and b.
Q1) Can we say that as $b \rightarrow \infty$, $z = 0$?
Or, since $a$ is a free parameter, there is always some value for $a$ such that $z \neq 0$ for $b \rightarrow \infty$ ?