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In [2] the authors asked if a non-unital Banach Algebra A is weakly amenable whenever its unitization is weakly amenable and whether  is 2-weakly amenable whenever is 2-weakly amenable. In this paper we give a partial solutions to these questions.

Mathematics Subject Classification (2010): 46B99, 16E40.

Keywords: n-weak amenability, self-induced, unitization.