Daily limit?

If you mean catch and pokestop limit that has already existed for a while. If you reach the limit for catches, everything just automatically flees, for stops it prevents you spinning them.

Last I heard, is is a rolling weekly limit. So based on how many pokemon you have caught in the last seven days. If you catch a lot on one day, but relax the next, then it evens out the catch numbers.

Barry idk what it is but I did a quick google search and the top few links, although primarily Reddit links, do not provide direct proof but all of the authors reference 500 mons and 1500 stops. Again there's no direct proof but I doubt I will ever hit those limits. I feel like any day I would catch 500 mons is a day I could spend doing something more productive lol

Edit: I realize the URL I posted is rather long, if you google "Pokémon Go Pokémon catch limit" those are the links I'm referring to

https://www.google.com/search?source=hp&ei=0wXLWY2sA8P0mAHJtr_ABg&q=pokemon+go+pokemon+catch+limit&oq=pokemon+go+pokemon+catch+li&gs_l=mobile-gws-hp.1.0.0.1998.12094.0.12948.41.36.5.3.3.0.449.8689.2j8j15j8j2.35.0....0...1.1.64.mobile-gws-hp..15.26.4187.3..35i39k1j0i131k1j0i20i264k1j0i22i30k1.275.GN3KuKv0DJk#scso=uid_WcsF4AANzsQKg_BjIAxrUQ_1:254

Go for the limit!!!
Why stop before the limit?...all that is doing is making a self imposed smaller limit than they allow.

...I will be checking back here to see if anyone gives a definitive answer.