Show that if xn <= yn <= zn for all n Є N, and if lim xn = lim zn = b, then lim yn = b.
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Originally Posted by ajj86 Show that if xn <= yn <= zn for all n Є N, and if lim xn = lim zn = b, then lim yn = b. Let be given. since , there exists an such that implies . Similarly, there is such that whenever . now, take , and assume . Note that since , we have .... can you finish?
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