battue,

I have taken running game down to 10 yards with 6x--and standing game out to 500. A 3-9x doesn't provide much, if any, more versatility on big game--as long as the shooter knows how to point a rifle quickly so the scope lines up with the target. (Though I do prefer a little more magnification for, say, squirrels, whether tree or ground.)

But I have also taken some big game from 200-350 yards without any scope, just an aperture sight with a typical front bead.

“Montana seems to me to be what a small boy would think Texas is like from hearing Texans.”
John Steinbeck