Answer to Question #21675 in Discrete Mathematics for Vanessa

Question #21675
Consider the difference equation un = f(un−1) where the function f(x) is given by f(x)= {1/5 x + 4 x<=5} {-3x + 20 x>5 } (a) If u0 = 5, how does the resulting sequence behave as n ! 1? (b) If u0 < 5, how does the resulting sequence behave as n ! 1? Draw a cobweb diagram to illustrate your answer. (c) If u0 > 5, how does the resulting sequence behave as n ! 1? Draw a cobweb diagram to illustrate your answer
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Expert's answer
2013-01-08T10:51:35-0500
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