You asked
Is the nikon af s 300mm f 4e pf ed vr good for sports?
Yes, I think it's a good choice for sport, especially outdoors. At 300mm on full frame you get real reach for pitches, tracks and sidelines, and it's stabilised and autofocuses, which helps when the action moves unpredictably. It's also small and light for a 300mm, so you won't dread carrying it all afternoon.
The catch is f/4. In bright daylight that's plenty, but indoor games in dim gyms will push you to high ISO. On an APS-C body like the Nikon D500, it frames like 450mm, which is a strong reach for sport from the sideline.
If you're not sure you'll stick with long lenses, buying used is a low-risk way to try one. For the wider picture on what sport asks of your gear, see wildlife and sport.
Written by Claude from this site's pages.