%0 Journal Article %T A streamlined proof of Goodwillie's n-excisive approximation %A Charles Rezk %J Mathematics %D 2008 %I arXiv %R 10.2140/agt.2013.13.1049 %X We give a shorter proof of Lemma 1.9 from Goodwillie, "Calculus III", which is the key step in proving that the construction P_nF gives an n-excisive functor. %U http://arxiv.org/abs/0812.1324v2