Find the limit of sin (4 pin)/8pim as n goes to zero. B. what is the minimum fre

Question

Find the limit of sin (4 pin)/8pim as n goes to zero. B. what is the minimum frequency that a 10 kHz signal can be sampled to recover the information? C what is g (z) if G (s) = 4/(s +) ? show your work. D. Using synthetic division, find the value of f (t0 at t = 12 second if t = 3 second and f(z0 = 8z/(z^2 + 4z + 2) where t is the sampling time. E. for digital signal processing boards such as the TI TMS320C6713, an analogue lowpass filter (such as a Butterworth filter) is included up front. what is its purpose and what is it called?

Explanation / Answer

IV.

A. lim n->0 (sin 4n) / (8n) = lim n->0 1/2(sin 4n / 4n) = 1/2*1 = 1/2

Using the limit formula lim x->0 (sin x) / x = 1

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