How to compute $\lim_{n\to \infty} n\sin(2\pi n! e)$
What is the limit of $n \sin (2 \pi \cdot e \cdot n!)$ as $n$ goes to infinity?
Given a method signature:  public bool AreTheSame&lt;T&gt;(Expression&lt;Func&lt;T, object&gt;&gt; exp1, Expression&lt;Func&lt;T, object&gt;&gt; exp2)   What would be the most efficient way to say if the two expressions are the same? This only needs to work for simple expressions, by this I mean all that would be "supported" would be simple MemberExpressions, eg c => c.ID.  An example call might be:  AreTheSame&lt;User&gt;(u1 =&gt; u1.ID, u2 =&gt; u2.ID); --&gt; would return true Should we put the references in slides/poster when we already have them in paper? After reading this question about  and asking myself two questions about  and , I realize that these activities are for showing what you found, make the audience be attracted. If they need further explanation, they should read your paper, which has successfully defensed and proved that your work is validated. One important thing when you attempt to attract people is concentrate on the important, which means unnecessary things need to be trimmed. I think the reference is one of those. So, should we put the references in slides/poster when we already have them in paper? I was wondering if there is a viable place on Stack Exchange to ask economics-related questions.  Questions I'd have in particular could be equation-based or theoretical.  I suppose the equation-based questions could possibly fit into mathematics but I haven't checked their FAQ. How to exclude a package from apt-get autoremove? I'm in a situation where the list of orphaned packages to be removed by apt-get autoremove includes a package that I want to keep. Apparently I have accidentally removed a package which was depending on it. How can I now mark the package as explicitly desired, so that apt-get autoremove will not remove it? I want to remove all the files from different directories, and want to keep only latest files 20 files. is this the correct command to do this?  ls -t1 /mnt/dwh/ftp/dwh_ftp_cbs/ARLOGS/ | tail -n +22 | xargs rm -f What are the most common pitfalls awaiting new users? Remove all attributes from html tags How to exclude jars generated by maven war plugin? Prevent Mac Terminal from reverting to default theme I can't find any way to change the Terminal theme and have that theme applied permanently.  I want to change to another darker theme other than the default 'basic' theme, and (most importantly) have it remain as the theme every time I open Terminal. Prove that if $\lim_{n \to \infty}z_{n}=A$ then:  $$\lim_{n \to \infty}\frac{z_{1}+z_{2}+\cdots + z_{n}}{n}=A$$ I was thinking spliting it in: $$(z_{1}+z_{2}+\cdots+z_{N-1})+(z_{N}+z_{N+1}+\cdots+z_{n})$$ where $N$ is value of $n$ for which $|A-z_{n}|&lt;\epsilon$ then taking the limit of this sum devided by $n$ , and noting that the second sum is as close as you wish to $nA$ while the first is as close as you wish to $0$. Not sure if this helps.... Gift to a supportive professor? As you might have seen from my history I had a very bad advisor who deliberately underpaid me, stole my research work and undermined my career at multiple phases.  Now I am done with my university and leaving next month. A professor in my department had been very supportive of me during these times, giving me advice on how to handle this situation, gave me recommendation letters to apply for PhD programs at other universities and also got me a internship. I just want to thank her for her help. I usually would have got a champagne or something but I know she doesn't drink alcohol. Any advice? Do airlines have to check the visa status before selling a ticket? When should one use "should" and when should one use "must"? I tend to use should when it's a suggestion I don't have a strong opinion on, i.e. it could be done in many other ways than the one I'm suggesting and it can still happen.     You should stop by that gas station to go to the bathroom.   On the other hand, I usually use must for things that have to happen in a certain way; any other way would make that thing not to happen. The problem is that some people find this usage harsh, as they receive it like if I'm giving them an order.      You must cross the street to get to that store.   To me, it's just a depiction of reality, not an order. But I'm neither a native speaker nor a regular person. :-)  So, what's the proper use for must and should? Does this use differ among the English dialects? In comics does Batman have a rule against killing? Inspired by  question, I have to admit I don't know a lot about the Comic Book Batman, but I know a fair amount about his other incarnations.   I know for example, that the 1989 movie had him kill the Joker. He vehemently wanted the Joker dead and had no compunctions about taking a life. I also know that he had a rule against killing in The Animated Series that he never broke, and that he very nearly broke it in Batman Beyond.  But as far as the comic books go, when did Batman develop a rule against killing his foes? Does he ever kill them rather than deliver them to the proper authorities? I just bought a house. Now I'm getting ads in the mail every day or two trying to get me to sign up to pay my mortgage bi-weekly (every two weeks) or weekly instead of monthly. In their words I could cut seven years and thousands of dollars off what I pay in long term. It seems like I would be paying the exact same amount of money, also.  I know "if something sounds too good to be true then probably it is". But I cannot figure out why in this case. What is the catch? Or is this something I should be signing up for ASAP? Render result is completely blank A scene I made is not rendering, at all. This grey screen stays the same and nothing changes.  Here are my settings:  [ When you call the object.__repr__() method in Python you get something like this back:    &lt;__main__.Test object at 0x2aba1c0cf890&gt;     Is there any way to get a hold of the memory address if you overload __repr__(), other then calling super(Class, obj).__repr__() and regexing it out? To prove the convergence of the p-series   $$\sum_{n=1}^{\infty} \frac1{n^p}$$  for $p &gt; 1$, one typically appeals to either the Integral Test or the Cauchy Condensation Test.  I am wondering if there is a self-contained proof that this series converges which does not rely on either test.    I suspect that any proof would have to use the ideas behind one of these two tests. Is every discrete absolute value non-archimedean? I've been reading Milne's notes on absolute values and local fields (Chapter 7 of the book on algebraic number theory), and a possibly minor point is confusing me.   On page 126, Milne writes, "$K$ is a field complete with respect to a discrete absolute value $|\cdot|$..." and then he talks about things that only make sense for non-archimedean absolute values, like the ring of integers and its maximal ideal.   Is every discrete absolute value on a field $K$ also non-archimedean? This would explain a lot, but I also suspect that it is not true, because I can't find any statement of this fact anywhere.  EDIT: An absolute value is discrete if the value group $|K^\times|$ is a discrete subgroup of the multiplicative group $\mathbb{R}_{&gt;0}$. An absolute value is non-archimedean if it satisfies the stronger triangle inequality $$ |x+y| \le \max (|x|,|y|) $$ or equivalently if the set $\{|1|,|1+1|,|1+1+1|,\ldots\}$ is a bounded subset of $\mathbb{R}$. Left alignment in TikZ