Hitscan

Common in earlier first/third person shooters with bullet/pellet using firearms. Not limited to the perspective though since it can be done with any.

Note that hitscanning does not remove the potential for rendering graphic trails, smoke, etc. that would indicate there was an actual projectile. This is one of the reasons hitscanning is used, it allows the projectiles to be resolved instantly, while the extra "fluff" can exist regardless of it, saving network resources for synchronizing actual projectile flight. For non-multiplayer instances it saves processing power for instances that don't produce delayed effects.