When I took the opportunity to hunt antelope my son and I both shot nearly identical Remington Model 7 rifles in 7MM08. The shots were taken at distance between 225 and 265 yards and within a few minutes of each other. Both were scored in the mid 70's and both were instant kills. The 7MM08 has long been my go-to rifle for whitetail (and a few other things).
Since then I have taken several good whitetails, a few pigs, coyotes and a 32" 200+ pound Axis with the 6.5 Creedmoor. None of those animals put up any fight after the shot.
Pick the right bullet and it will most definitely do the job.