原式=lim(x->0){[1+(cosx-1)]^[(1/(cosx-1))(-1)]} =1/lim(x->0){[1+(cosx-1)]^(1/(cosx-1))} =1/lim(t->0)[(1+t)^(1/t)] (令t=cosx-1) =1/e (应用重要极限).
