Sylvia Pfeffer Educator since 2012 301 answers | Certified Educator Page Citation Share Link `lim_(x->0)[1-e^(2x)]/[1-e^x]=` `lim_(x->0)[(1-e^x)(1+e^x)]/(1-e^x)=` `lim_(x->0)1+e^x=` `1+1=2` Approved by eNotes Editorial Team