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 Dec22 comment Prove that s is finite and find an n so large that $S_n$ approximate s to three decimal places. @rlgordonma: I didn't want to completely give it away, but yes, that is closer to an answer :). Dec22 answered Prove that s is finite and find an n so large that $S_n$ approximate s to three decimal places. Dec22 answered Gamma function of negative argument Dec22 suggested rejected edit on Prove that s is finite and find an n so large that $S_n$ approximate s to three decimal places. Dec22 reviewed No Action Needed Finding a surface fitting equation for this set of data Dec22 awarded Citizen Patrol Dec22 comment How can I systematically find the roots of $x^4 + 1?$ Is there some algorithm? Better. Although I'd simply expect this question to be closed as duplicate. Dec22 comment How can I systematically find the roots of $x^4 + 1?$ Is there some algorithm? Yes, those answers are much better and more welcoming. This just smacks an answer to the question, which is technically correct, but the techniques it relies on are not explained at all. Dec22 awarded Custodian Dec22 reviewed No Action Needed Hartshorne's proof of Proposition 2.5, Chapter II of his book Algebraic Geometry Dec22 comment How can I systematically find the roots of $x^4 + 1?$ Is there some algorithm? How is someone who doesn't know how to find roots of $x^4+1$ helped by your answer? Dec22 revised How can I find $\sum_{k=1}^{1233}f(\frac{k}{1234})$ added 4 characters in body Dec22 comment How can I systematically find the roots of $x^4 + 1?$ Is there some algorithm? If you can understand this answer, you wouldn't have needed it in the first place. Dec22 comment How can I find $\sum_{k=1}^{1233}f(\frac{k}{1234})$ I like how you can solve for $f(1/2)$. Dec22 comment How many subsets of $\mathbb{N}$ have the same cardinality as $\mathbb{N}$? @DougSpoonwood: see Asaf's answer for an explanation. Dec22 comment Simple equation misunderstanding I don't know what you're doing wrong, but I'm getting a different value (in fact, the one you're looking for) for the arctan. How are you calculating it? Dec22 comment How can I find $\sum_{k=1}^{1233}f(\frac{k}{1234})$ Thanks to Mathematica for simplifying the terms, I wouldn't have voluntarily done this. Dec22 answered How can I find $\sum_{k=1}^{1233}f(\frac{k}{1234})$ Dec22 comment How can I algebraically prove that $2^n - 1$ is not always prime? I think the question can be interpreted as "prove that there are infinitely many $n$ such that $2^n-1$ is not prime". Otherwise, as @Hurkyl mentioned, you have already proved your own statement. Dec21 comment Closure in a product of topological spaces What is the closure of a topological space? I know closures of strict subsets of spaces, and completions of metric spaces, but what are closures of spaces?