Skydreamer
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 Jan 27 asked Unique local extremum Jan 14 comment Proof that $e=\sum\limits_{k=0}^{+\infty}\frac{1}{k!}$ Okay @JimConant, I give him the points ! Jan 14 accepted Proof that $e=\sum\limits_{k=0}^{+\infty}\frac{1}{k!}$ Jan 14 comment Proof that $e=\sum\limits_{k=0}^{+\infty}\frac{1}{k!}$ I am not thinking you misbehaved. The last time I gave the points to another person after I accepted an answer, I got a rocket so I don't know if I should do it or not. Jan 14 comment Proof that $e=\sum\limits_{k=0}^{+\infty}\frac{1}{k!}$ I gave you a +1 but I won't unaccept an answer, that's not a nice behavior. Thank you anyway ! Jan 14 comment Proof that $e=\sum\limits_{k=0}^{+\infty}\frac{1}{k!}$ Thank you for the answer ! Jan 14 comment Proof that $e=\sum\limits_{k=0}^{+\infty}\frac{1}{k!}$ @mt_ Of course, I forgot it. Neal, I'll read about this now, thank you ! Jan 14 comment Proof that $e=\sum\limits_{k=0}^{+\infty}\frac{1}{k!}$ The only solution of the differential equation $y'=y$ where $y'$ is the derivative of $y$ Jan 14 comment Proof that $e=\sum\limits_{k=0}^{+\infty}\frac{1}{k!}$ The exponential function. Jan 14 comment Proof that $e=\sum\limits_{k=0}^{+\infty}\frac{1}{k!}$ @mt_ $e=\exp(1)$. Alex I'll take a look at it. Jan 14 asked Proof that $e=\sum\limits_{k=0}^{+\infty}\frac{1}{k!}$ Dec 26 accepted Union and intersections Dec 26 comment Union and intersections Thank you ! I think I've found the second one. Dec 25 comment Union and intersections Okay, I've managed to conclude I think :) Now, what should I prove first for the second problem to conclude it in a similiar way ? I've tried to found it out but definitely can't understand where this comes from... Thank you in advance ! Dec 23 comment Union and intersections Thank you a lot :) I'm trying to solve the second now ! Dec 23 comment Union and intersections For the first problem, I can't see why the cardinality of J can lead to $P \subset Q$ that's to say in fact $x \in Q$ Dec 23 comment Union and intersections I don't understand how you deduce there are at most $k-1$ different $i\in\{1,\dots,n\}$ with $i\not\in X_i$. But then ok, this proves what Davide said in his comment on the question with the J set and I don't know how this helps with the final deduction. Moreover, I can't suppose k is small relative to n I think ? Dec 23 revised Union and intersections added 8 characters in body Dec 23 comment Union and intersections Right, I made a little mistake when writing the question. I have changed it ! Dec 23 awarded Commentator