Not sure if this is the right chat room to use, but are there questions where the exponential function as$$e^x=\lim_{n \to \infty}\left(1+\frac{x}{n}\right)^n \, ,$$ and there is a rigorous proof that the above limit exists?
@MartinSleziak Hi Martin, thanks for your offer for help. I did not have that option in my mind, i agree it is a great way to attract more attention. However, my purpose of putting a thread there is hopefully raising attention from SE staff members so that they may replace one single URL and resolve the issue. I am afraid bounty may only attract people from the user group? So not sure if your "bounty quota" or whatever you pay for this is going to be wasted.
For regular users, only thing they can do is to provide extension to get around that CDN link, or help user setup proxy tool etc. What i really want is let non-technical people visit SE sites like normal. But, do you think if we put bounty to an older question and being able to get a lot of votes will have a chance to attract attention from SE staff even if it is a very old meta question?
It was among the top results on the frequent tab when I check questions tagged exponential-function+limits. (Do not forget to switch back to your preferred ordering (active or newest), if you visit the previous link.)
@MartinSleziak: Thanks, I did look at the post. Unfortunately, it doesn't quite have what I wanted as I'm looking for a proof that $\lim_{n \to \infty}\left(1+\frac{x}{n}\right)^n$ converges. Then, once convergence has been shown, we can define $\exp x$ as the aforementioned limit. So really I'm looking for approaches that don't rely upon other definitions of the exponential function.
@Joe this might help perhaps: math.stackexchange.com/questions/2190216 . Asker describes how they proved convergence for x>=0, then answer describes how to complete that to x<0 as well.
