(a) Let A be the subset of R defined by A {1- :nEN}. Find all cluster points of A and justify your answer. (b) Let ScR and let e e R be a cluster point of S. Prove that for each e > 0 the set W:=...


(a) Let A be the subset of R defined by A {1- :nEN}. Find all cluster points of<br>A and justify your answer.<br>(b) Let ScR and let e e R be a cluster point of S. Prove that for each e > 0 the set<br>W:= Sn(e-t.e+c) has infinitely many elements.<br>

Extracted text: (a) Let A be the subset of R defined by A {1- :nEN}. Find all cluster points of A and justify your answer. (b) Let ScR and let e e R be a cluster point of S. Prove that for each e > 0 the set W:= Sn(e-t.e+c) has infinitely many elements.

Jun 03, 2022
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