Whereas the graphs of x1.t / and x2.t / resemble those

Chapter , Problem 38

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Whereas the graphs of x1.t / and x2.t / resemble those shown in Figs. 3.4.7 and 3.4.8, the graph of x3.t / exhibits damped oscillations like those illustrated in Fig. 3.4.9, but with a very long pseudoperiod. Nevertheless, show that for each fixed t>0 it is true that lim n!1 x2.t / D lim n!1 x3.t / D x1.t /:

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