Does $\lim_{n\rightarrow\infty} (\frac{1}{n+a} + \frac{1}{n+2a} + \cdots + \frac{1}{n+na}) $ converge?
Let a be a positive number. Then $\lim_{n \to \infty}[\frac{1}{a+n}+\frac{1}{2a+n}+\cdots +\frac{1}{na+n}]$
Why does the multi-paragraph quotation rule exist? I try to download a file with wget and curl and it is rejected with a 403 error (forbidden).  I can view the file using the web browser on the same machine.  I try again with my browser's user agent, obtained by . I do this:  wget -U 'Mozilla/5.0 (X11; Linux x86_64; rv:30.0) Gecko/20100101 Firefox/30.0' http://...   and  curl -A 'Mozilla/5.0 (X11; Linux x86_64; rv:30.0) Gecko/20100101 Firefox/30.0' http://...   but it is still forbidden. What other reasons might there be for the 403, and what ways can I alter the wget and curl commands to overcome them?  (this is not about being able to get the file - I know I can just save it from my browser; it's about understanding why the command-line tools work differently)  update  Thanks to all the excellent answers given to this question. The specific problem I had encountered was that the server was checking the referrer. By adding this to the command-line I could get the file using curl and wget.  The server that checked the referrer bounced through a 302 to another location that performed no checks at all, so a curl or wget of that site worked cleanly.  If anyone is interested, this came about because I was reading  page to learn about embedded CSS and was trying to look at the site's css for an example. The actual URL I was getting trouble with was  and the curl I ended up with is  curl -L -H 'Referer: http://css-tricks.com/forums/topic/font-face-in-base64-is-cross-browser-compatible/' http://cloud.typography.com/610186/691184/css/fonts.css   and the wget is   wget --referer='http://css-tricks.com/forums/topic/font-face-in-base64-is-cross-browser-compatible/' http://cloud.typography.com/610186/691184/css/fonts.css   Very interesting. Java, pointer like way to program this Understanding NSString comparison Last two digits of $3^{400}$ How do I install HP P1102W printer driver Check whether $\sum _{m=1}^{\infty }\sum _{n=1}^{\infty }\frac{1}{\left(m+n\right)^2}$ converges or NOT? PHP XML how to output nice format How do I unlock Rosalina in Mario Kart Wii? How do I unlock Rosalina from Super Mario Galaxy as a playable racer in Mario Kart Wii? RegEx: Grabbing values between quotation marks Let's say I have a script that will be executed on various machines with root privileges, but I want to execute certain commands within that script without root.   Is that possible? Removing intercept from GLM for multiple factorial predictors only works for first factor in model Changing internal URL path for SEO I have a site where Google has already indexed about 1 million pages, and I want to change all the URL paths for SEO purposes, ensuring that we always have our keywords in the path.  Technically I know how to complete it (301 redirects, new canonical URL, update sitemap, etc.) but I'm wondering if Google will penalize the site because of it, or if links will disappear from search results until they are re-crawled? I am trying to route a pic32 chip to a  chip and having a bit of a hard time getting all 17 address lines and all 8 data lines connected. I am trying to tie the first 16 address pins to portB pins 0-15 and the data pins to portD 0-7.  After thinking about it for a while I realized that I am probably making my life more difficult by trying to line up rb0 with a0, rb1 with a1, etc. All I really want to be able to do is write a 16 bit value to portB and have the majority of the address loaded and ready. If I make pin assignments based on ease of routing, the logical address will be different between the mcu and the ram, but it should at least be consistent. Since nothing else needs to communicate with the RAM, I don't think it will be a problem if the mcu asks for address 0x101 and the RAM gives it address 0x110.   However, I wonder if it is a good idea. If there is some structure internal to the RAM designed to make sequential reads more efficient, or something like that, then I may want to go to the trouble of routing them 1:1. The pins arrangement on both chips fees somewhat random to me, so it would make it a lot easier on me if I could ignore the particular numbers. Is there any good reason why I should or should not do that? What is the typographic reasoning here? Does it make the text look less crowded? "have" vs."have got" in American and British English I have looked through several questions and answers on EL&amp;U, and often there is an indication that American English prefers "have" while British English prefers "have got". In addition, there are several references to "have got" being more informal than "have" (e.g.: , ). But where is it considered more informal? In American English alone or both American and British English?   This point may seem obvious to those who made the above mentioned references, but the fact is that even the most fluent users of English in my country will say without a doubt that 'have got' is the preferred usage in the UK and, therefore, it must also be more formal. Why? Because in an academic environment, the more informal structures are generally frowned upon, outside some specific spoken exercises. And if the teachers insist on using "have got", it follows it isn't informal.  So, is the teaching of (British) English in our schools transmitting the wrong idea?  EDIT: I'm adding some information in answer to the comments.  I'm mainly concerned with the idea of possession:      I have got a cat vs. I have a cat and She has got a dog vs. She has a dog   As mentioned in the comments, every (Portuguese) student will be told that "have" and "have got", when it comes to the idea of possession, are absolute synonyms, the only two differences being:    "have got" is preferred by British English, "have" is preferred by American English   the negative and interrogative structures differ    I have never heard of any distinction in formality. In fact, I was rather surprised when I went through the EL&amp;U archives and read about it.  So, would "I have got a cat" be as formal/informal as "I have a cat"?   And how do British and American English look at its formality/informality? Is it the same? How do I use Moq to mock an extension method? I am writing a test that depends on the results of an extension method but I don't want a future failure of that extension method to ever break this test. Mocking that result seemed the obvious choice but Moq doesn't seem to offer a way to override a static method (a requirement for an extension method). There is a similar idea with Moq.Protected and Moq.Stub, but they don't seem to offer anything for this scenario. Am I missing something or should I be going about this a different way?  Here is a trivial example that fails with the usual "Invalid expectation on a non-overridable member". This is a bad example of needing to mock an extension method, but it should do.  public class SomeType {     int Id { get; set; } }  var ListMock = new Mock&lt;List&lt;SomeType&gt;&gt;(); ListMock.Expect(l =&gt; l.FirstOrDefault(st =&gt; st.Id == 5))         .Returns(new SomeType { Id = 5 });   As for any TypeMock junkies that might suggest I use Isolator instead: I appreciate the effort since it looks like TypeMock could do the job blindfolded and inebriated, but our budget isn't increasing any time soon. What does the '!!!' syntax mean in javascript? Scenario  I created a journey with a Contact Data entry event that is triggered via the API. A subscriber should be able to be injected multiple times and the values in the data extension are updated while the subscriber is in the journey. The updated values should determine the path the subscriber follows.  Setup  As changed data needs to be evaluated and the contactkey cannot be used as primary key, I added a random id as primary key and created an attribute group for the data extension in Data Designer. The data extension is linked to the contact's contactkey using a one-to-many relationship as a contact should be able to enter the journey multiple times.  In the journey I'm using a decision split that is configured to use contact data from the created attribute group and has two branches (as it checks a boolean value).  Problem  For multiple entries the decision split doesn't evaluate correctly and always leads to same branch (value equals false). I suppose the problem is that journey builder doesn't use the primary key to identify the correct row in the data extension. Is there any way to make sure the row is matched using this id and not the contactkey as this leads to some strange behaviour as described here: Why doesn't 'find' show this file?