Smite increases damage to undead mobs."Each level separately adds 2.5 ( × 2 1/2) extra damage to each hit, to "undead" mobs only" - gamepedia
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Smite increases damage against zombies, skeletons and zombie pigmen.
Smite is an enchantment you can put on swords. With it, you can do extra damage to zombies, zombie pigmen, and skeletons.
Smite on enchanted swords in both the Xbox and PC/Mac edition mean that it does more damage on the undead, such as zombies and skeletons.
the smite enchantment in minecraft makes it so your sword does extra damage do zombies, skeletons and pigmen.
If you're talking about the smite enchantment, then no. Smite affects Zombies and Skeletons.