- #1
member 428835
Homework Statement
In the ##(n,x)## plane, where is the recurrence stable for increasing ##n##?
$$E_{n+1}(x) = \frac{1}{n}\left( \exp(-x)-xE_n(x)\right):E_n\equiv \int_1^\infty \frac{\exp(-xt)}{t^n}\,dt$$
and ##n\in \mathbb{N},\:x\geq0##.
Homework Equations
Nothing comes to mind.
The Attempt at a Solution
I really don't know how to proceed because I don't understand what "stable" means in this context. I was hoping someone with more experience could help me out. I typically have an approach when posting here, but this time I'm stuck.
Nothing on this topic is in the book we're using, so I'm stuck.