(a) Determine the overall amplitude response of the cascade connection shown in Fig. 2.43 consisting of N identical stages, each with a time constant RC equal to To. (b) Show that as N approaches infinity, the amplitude response of the cascade connection approaches the Gaussian function exp(-12121272), where for each value of N, the time constant To is selected so that the condition T² 4π2N is satisfied. Buffer amplifier FIGURE 2.43 Problem 2.31 Buffer amplifier Buffer amplifier