amuse vs entertain

amuse and entertain both are verbs.

Word	Noun	Adjective	Verb	Adverb
amuse	No	No	Yes	No
entertain	No	No	Yes	No

As verbs, entertain is a hypernym of amuse; that is, entertain is a word with a broader meaning than amuse:

amuse (verb)	entertain (verb)
make (somebody) laugh	take into consideration, have in view
occupy in an agreeable, entertaining or pleasant fashion	maintain (a theory, thoughts, or feelings)
	provide entertainment for