Let A be a subset of R and let c e R. Explain what it means to say that c is a cluster point of A. Let A be the subset of R defined by A:= (0, 1)U{2}. Use the definition of a cluster point to show...


Let A be a subset of R and let c e R. Explain what it means to say that c is a cluster<br>point of A.<br>Let A be the subset of R defined by A:= (0, 1)U{2}. Use the definition of a cluster point<br>to show that<br>(i) c= 1 is a cluster point of A,<br>(ii) c = 2 is not a cluster point of A.<br>

Extracted text: Let A be a subset of R and let c e R. Explain what it means to say that c is a cluster point of A. Let A be the subset of R defined by A:= (0, 1)U{2}. Use the definition of a cluster point to show that (i) c= 1 is a cluster point of A, (ii) c = 2 is not a cluster point of A.

Jun 05, 2022
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