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

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

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

Jun 04, 2022

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

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