Varmit scope or whatever if it's of some quality should be ok. Like already said low end power might be to much to be workable. Maybe your hunting around big fields or something but 3x9x40 is plenty for our neck of the woods....later
I have known several guys that put 6x24s on a deer rifle
because they thought it would make them better shots.
Eventually they switched to 3x9s or 4x12s, bigger scopes
are heavier, and you bang them up in the woods.
I had to put a 6-24x42 on my 30-06 so I can count the points of a bucks rack at 200+yds. to make sure it's legal.
Also have a 8" reflector still in the box to mount for when they come up with hair restrictions and the buck has to have 1.75" scrotum hairs.
For deer hunting theres no need for anything higher than 12x in my opinion. When hunting, my scope at all times is at 4 or 5. With a higher magnification, you see more movement with yourself. With a 9x, a deer at 100 yards is dead to rights and youre own personal error or steadiness is minimal enough to when you get the crosshairs on the vitals it will hit. If you have a 20x scope zoomed in at 100 yards, its harder to hold steady unless you have a sturdy rest.