Please look at how the verb disturb is used in this sentence:
This example suggests that for a power series, the uniformity of convergence may at most be disturbed near the circle of convergence.
I referred to the dictionary but could not find the right meaning. I only know that the convergence is uniform within the convergence circle but uniform convergence does not hold on the circle itself.
The second part of my question is related to the use of the word setting in this sentence:
We now shift from power series to arbitrary series of variable terms and examine uniform convergence in this more general setting.
I know that the author's intention of ''this more general setting'' is that we consider an arbitrary series, not just a power series. Now, what is the appropriate and precise meaning of ''setting'' in this sentence?