You asked
Is the nikon af s 70 200mm f 4g ed vr worth it?
Yes, I think it's worth it if you shoot landscapes or outdoor scenes where you'll be stopping down to f/8 or f/11 anyway. It's lighter and cheaper than the f/2.8 versions, and f/4 is plenty when you're not chasing shallow depth of field. It's also stabilised, which helps when you're handholding a long zoom.
Check your body first. On full frame, like the Nikon D750 or Nikon D850, it frames 70-200mm as marked. On APS-C, like the Nikon D7500, it frames like 105-300mm, which suits wildlife and distant subjects.
Skip it if you need fast light or the strongest background blur for portraits. For that, look at the Nikon AF-S 70-200mm f/2.8G ED VR II. For the landscape reasoning, see Landscape.
Written by Claude from this site's pages.