Is the word limpe the same in Brazilian and European Portuguese?

No

While the spelling and the third-person subjunctive meaning are identical, there is a difference in typical usage. In Brazil, "limpe" is the standard imperative form for the "você" pronoun, which is used widely in both informal and formal settings. In Portugal, "limpe" is used almost exclusively for formal address (o senhor/a senhora), whereas the informal "tu" form ("limpa") is the natural choice for most everyday, casual interactions. There is also a slight difference in pronunciation: Brazilians tend to pronounce the final "e" as a soft [i], while the final "e" in Portugal is often reduced or nearly silent.

Brazilian Portuguese Examples

1. Por favor, limpe a mesa agora. (Please, clean the table now.)
2. Espero que ele limpe a bagunça. (I hope he cleans the mess.)
3. Não deixe que a sujeira se espalhe, limpe logo! (Don't let the dirt spread, clean it up now!)
4. Diga para ela que limpe o rosto. (Tell her to clean her face.)
5. É importante que você limpe seus erros. (It is important that you clean/clear your errors.)

Portuguese (Portugal) Examples

1. Por favor, limpa a mesa agora. (Please, clean the table now.)
2. Espero que ele limpe a sujidade. (I hope he cleans the dirt.)
3. Não deixes que a sujidade se espalhe, limpa logo! (Don't let the dirt spread, clean it up now!)
4. Diz-lhe para limpar o rosto. (Tell her to clean her face.)
5. É importante que limpes os teus erros. (It is important that you clean your errors.)