(1):
(v. t.) To exceed or go beyond; to surpass.
(2):
(v. t.) To go beyond or surpass in good qualities or laudable deeds; to outdo or outgo, in a good sense.
(3):
(v. i.) To surpass others in good qualities, laudable actions, or acquirements; to be distinguished by superiority; as, to excel in mathematics, or classics.