forever vs perpetually

forever and perpetually both are adverbs.

Word	Noun	Adjective	Verb	Adverb
forever	No	No	No	Yes
perpetually	No	No	No	Yes

As adverbs, forever and perpetually are synonyms defined as:

Other synonyms of forever include always, constantly, incessantly.

forever (adverb)	perpetually (adverb)
for a limitless time	invariably
for a very long or seemingly endless time	everlastingly; for all time
invariably