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Aug
14
asked Convergent Subsequence in $\mathbb R$
Aug
14
comment Proving that $\mu$ is $\sup S$
@JayeshBadwaik then why the $\Longleftrightarrow$?
Aug
14
comment Proving that $\mu$ is $\sup S$
Thank you. This is clear to me now @PeterTamaroff
Aug
14
accepted Proving that $\mu$ is $\sup S$
Aug
14
revised Proving that $\mu$ is $\sup S$
redefined question
Aug
14
comment Proving that $\mu$ is $\sup S$
Ah! So Since we assumed that there is no $ x \in [\mu -\epsilon, \mu]$ and arrived at $\mu \ne \sup S$ that means that $\mu $ is the supremum?
Aug
14
comment Proving that $\mu$ is $\sup S$
@BiditAcharya why does $\lambda \notin S \Longrightarrow \mu \ne \sup S$
Aug
14
revised Proving that $\mu$ is $\sup S$
asked again
Aug
14
revised Proving that $\mu$ is $\sup S$
asked again
Aug
14
comment Proving that $\mu$ is $\sup S$
Ok I found my mistake there thank you @ArthurFischer
Aug
14
revised Proving that $\mu$ is $\sup S$
fixed mistake in forward direction
Aug
14
asked Proving that $\mu$ is $\sup S$
Aug
14
comment Appropriate Notation: $\equiv$ versus $:=$
@AnonymousCoward see here: tex.stackexchange.com/questions/4216/how-to-typeset-correctly
Aug
14
revised Difference of two Cauchy Sequences
edited body
Aug
13
revised Difference of two Cauchy Sequences
added 16 characters in body
Aug
13
comment Difference of two Cauchy Sequences
My mistake, I added the note that we are in $\mathbb R$
Aug
13
revised Difference of two Cauchy Sequences
added 16 characters in body
Aug
13
comment Are all infinities equal?
I am interested by rigorizing "intuitive" statements such as "we can split these lines up and then 'add' them back together." For me, these are some of the hardest rigorous statements to make. How would you do it?
Aug
13
asked Difference of two Cauchy Sequences
Aug
13
awarded  Nice Question