Can a raspberry pi 3 handle running video on a large TV (50-90inch)? It's very important that the resolution and refresh rate is good. It can't look choppy and laggy. Does the raspberry pi 3 have the specs for this?
The best information I can find suggests that it's possible to output 4K resolutions, but at fairly miserable frame rates. The Pi 3 has the same GPU as the Pi 2, so the information should still be valid:
I did actually connected my raspberry pi 3 to a big TV screen and it worked fine, so you should not have problem until it is not 4k or hyper resolution with an high framerate.
The Raspberry Pi supports 1080p@30 fps if the source is encoded with h.264. All other resolutions , framerates and codecs are not always guaranteed to be usable. For example , only the Pi3 with Kodi supports h.265 , but not in 4K at all.