Nathan
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 Sep 25 awarded Commentator Aug 1 comment Confused by definition of an open set in “All the Mathematics You Missed” That's what I thought, but I am not nearly confident enough of a reader to say "that's wrong". Thanks. Aug 1 asked Confused by definition of an open set in “All the Mathematics You Missed” Apr 16 awarded Critic Mar 26 awarded Popular Question Jan 9 accepted Average proportion for proportions with different denominators Jan 9 accepted Limit of $1/x^2$ - Apostol 3.2, Example 4 Oct 29 awarded Tumbleweed Oct 22 asked Average proportion for proportions with different denominators Apr 23 awarded Scholar Apr 23 accepted Proof that $\int_1^x \frac{1}{t} dt$ is $\ln(x)$ Feb 15 comment Proof that $\int_1^x \frac{1}{t} dt$ is $\ln(x)$ @BrianM.Scott Yeah, sorry. I looked through and I couldn't find it, but once gingerjin gave a proof I recognized it. I was too impatient, is all. Thanks anyways! Feb 15 comment Proof that $\int_1^x \frac{1}{t} dt$ is $\ln(x)$ Thank you. This is a really clear explanation! Feb 15 comment Proof that $\int_1^x \frac{1}{t} dt$ is $\ln(x)$ @JonasMeyer I'll see if I can find something about $e^u$. Maybe that will help me understand this. Feb 15 comment Proof that $\int_1^x \frac{1}{t} dt$ is $\ln(x)$ @HenningMakholm Apostol's "One Variable Calculus". If there is a proof, I'm missing it. Feb 15 revised Proof that $\int_1^x \frac{1}{t} dt$ is $\ln(x)$ edited body Feb 15 asked Proof that $\int_1^x \frac{1}{t} dt$ is $\ln(x)$ Nov 29 comment Limit of $1/x^2$ - Apostol 3.2, Example 4 Oh! I think I get it. Any neighborhood N(0) will contain points such that 0 A+2. You can't get around that, no matter what δ you choose. What makes me sure that I get it is that now I don't understand why I didn't see that in the first place. Nov 29 comment Limit of $1/x^2$ - Apostol 3.2, Example 4 On reflection, I'm not sure either. This is helping, though. Thanks! Nov 29 comment Limit of $1/x^2$ - Apostol 3.2, Example 4 Thanks for the formatting. I briefly tried to get it into LaTex, but I gave up after nothing worked. Haha. I've tried to ask questions where I didn't explain as much, and the person I was asking either refused to help or started talking about a part of the problem that I wasn't asking about. In this case, I had already burned through all of my mathy friends, but they are all at least two years out from real analysis, and couldn't help very much. They did help me get this far, though.