let s be a nonempty set of real numbers that is bounded above and let s be its least upper bound

Name: let s be a nonempty set of real numbers that is bounded above and let s be its least upper bound prove that there exists a sequence an such that each an belongs to s and s is the limit of 33857
Uploaded: 2023-02-06T14:59:05-08:00
Duration: 1 min 6 s
Channel: Sri K
Description: let s be a nonempty set of real numbers that is bounded above and let s be its least upper bound prove that there exists a sequence an such that each an belongs to s and s is the limit of 33857

Question

Avinash Vishwakarma · Accepted Answer

1. Since S is bounded above, there exists a real number M such that for every element x in S, x

Question

Let S be a nonempty set of real numbers that is bounded above, and let s be its least upper bound. Prove that there exists a sequence {a_n} such that each a_n belongs to S and s is the limit of the sequence {a_n}.

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