I just wanted to wish you all a Merry Christmas who celebrate it, even if a little late for some of us (it's already past midnight where I live).
Or for those celebrating old style (January 7), good luck with preparations.
https://www.bleepingcomputer.com/news/security/-123456-remains-most-common-password-found-in-data-dumps-in-2017/List compiled from five million leaked credentials
The list was put together by SplashData, a company that provides various password management utilities such as TeamsID and Gpass. The company said it compiled the list by analyzing over five million user records leaked online in 2017 and that also contained password information.
You have to do a few more posts.
By the way, for perhaps less obvious reasons, the answer for cos(1/x)/x is not finite.
Yes. Cos(1/x)/x is an odd function (symmetric about the origin), much like the function y=1/x. Because of this particular symmetry, one might naively think that all of the area on the right side of the y-axis should exactly cancel the area on the left side, leaving the answer to be exactly zero. However, that does not work rigorously, because of the problem of taking limits. The integrals blow up or don't converge.