In class we talked about the approximation amaa+reea for values of :I: close to c. A more precise way to say this is that =d+f@Q+Ewt where E(:3:) is an 'error' function measuring the dierence between f(.'.[!) and the linear approximation [you do not need to prove an"),r of this). Note that lirn E(:r_:) = U. SEE>8 {a} By rearranging and taking an appropriate lirnit, show that m (Ea) = a. 2358 9': C (b) Qualitatively, what does (a) sayr about the relative speeds with which E (I!) and (:1: c) approach 0 as :1: approaches (3? V'u'hj}.r does this tell us that our approximation is a good one