pester vs beleaguer

pester and beleaguer both are verbs.

Word	Noun	Adjective	Verb	Adverb
pester	No	No	Yes	No
beleaguer	No	No	Yes	No

As verbs, pester and beleaguer are synonyms defined as:

Other synonyms of pester include badger, bug, tease.

pester (verb)	beleaguer (verb)
annoy persistently	surround so as to force to give up
	annoy persistently