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Evaluating the limit $\lim_{n\to\infty} \left[ \frac{n}{n^2+1}+ \frac{n}{n^2+2^2} + \ldots + \frac{n}{n^2+n^2} \right]$ Evaluating the limit $\displaystyle \lim_{n\to\infty} \left[  \frac{n}{n^2+1}+ \frac{n}{n^2+2^2} + \ldots + \frac{n}{n^2+n^2} \right]$  I have a question about the following solution:  We may write it in the form:  $$ \frac{1}{n} \left[ \frac{1}{1+(\frac{1}{n})^2} + \ldots + \frac{1}{1+(\frac{n}{n})^2} \right] $$  Somehow I need to figure out that the limit is actually the Riemann sum of $\frac{1}{1 + x^2}$ on $[0,1]$ for $\pi = 0 &lt; \frac{1}{n} &lt; \ldots &lt; \frac{n}{n}$.  Can you explain to me to reach this conclusion? I forgot my username, how do I get it back? I have got the Client Cross Frame Scripting Attack alert in the recent CheckMarx scanner. However, it points to an auto generated ID.   I've seen the following links however, the I'm not sure about relavancy of the soluions given i.e.,          Regarding my visualforce component, I'm doing just one DML operation on a custom setting from a callout response. Also, I'm not passing any attribute to the component.   To give a background of the component, its just a list view of records from a different system retrieved through a callout on load via JavaScript.  Let me know if in case anything else is needed.   Thanks in Advance! Peace! Need a MP3 ID3 tagger, and cover fetcher I need to tag my MP3 library, and have tried kid3 (which was manual tagging), when I used Kubuntu 9.10 (I now use Ubuntu Meerkat) Here are the features I am hoping for:   A good and clean UI. Tagging should be automatic, like Winamp's autotag feature, which rocks, btw! It should also embed the cover-art in the mp3, not copy a jpeg file in the folder, because now-a-days all players support displaying cover art. But acceptable if not possible. Rename the files as per some regular expression like %TrackNo - %Artist - %Title.  Should be accurate, and more importantly smart. I want to start tagging at night, and hopefully my collection should be done by the morning, w/o it being stuck at a user prompt at 1%.   If one app cant do all, I am willing to use 3, wouldn't mind exposure to a few more apps ;)  I have used picard or someting, and I didnt like it quite a lot. But wouldn't mind using it, if there is no other alternative.   Thanks for your time! Please stop using SoftwareEngineering.SE as your toilet bowl Stack Overflow users have been using the "off topic - belongs on SoftwareEngineering.SE" close reason as an alternative to all the other close reasons. It'd be helpful if people actually read the FAQ and the six  before voting to migrate questions like:   , no redeeming value to favorite lists that become argumentative , "help my exact situation" questions are too localized , fails 5 out of the 6 guidelines , fails 4 out of 6 , too localized and too vague , too broad   Absent a reversal of the Stack Overflow community from viewing SoftwareEngineering.SE as the Stack Overflow cesspool, can the "off topic - belongs on SoftwareEngineering.SE" close reason be removed in favor of manual migration by moderators who can actually spend the 10 seconds to determine if the question should be closed outright first?    To say that SoftwareEngineering.SE is such a nebulous place and nobody knows what its scope is as the reason why crappy questions keep getting migrated there is to miss the point. Good questions are good questions on all of the sites, and questions that are too vague, that are too argumentative, too localized, and too broad are universal close reasons. There is no special dispensation for SoftwareEngineering.SE to have bad questions, even if you personally think the questions on there suck.  Even the six subjective guidelines for subjective questions are universal guidelines: they affect all sites. So even if you had no idea what the consequences of using the "off topic - belongs on SoftwareEngineering.SE" close reason were, there are still all of the other close reasons for which bad questions, like the ones above, can be closed. Is this algebraic identity obvious? $\sum_{i=1}^n \prod_{j\neq i} {\lambda_j\over \lambda_j-\lambda_i}=1$ If $\lambda_1,\dots,\lambda_n$ are distinct positive real numbers, then  $$\sum_{i=1}^n \prod_{j\neq i} {\lambda_j\over \lambda_j-\lambda_i}=1.$$ This identity follows from a probability calculation that you can find at the  top of page 311 in the 10th edition of Introduction to Probability Models by Sheldon Ross.   Is there a slick or obvious explanation for this identity?   This  question is sort of similar to ; clearly algebra is not my strong suit! Find the value of $\sum_0^n \binom{n}{k} (-1)^k \frac{1}{k+1}$ Find the value of $\sum_0^n \binom{n}{k} (-1)^k \frac{1}{k+1}$.  Writing out several terms, I think the answer is $1/(n+1)$, but I'm struggling to prove this. I would greatly appreciate it if someone could show how to prove this. When I press the power button a dialog opens, but I want to shutdown the system without receiving "Do you really really want to shutdown?". How can I choose a direct shutdown action on a pressed power button?   I had the same problem with the 11.04 version, but I don't remember the solution and yesterday I upgraded to Ubuntu 11.10. Approximation of measurable function by simple functions caching JavaScript files Which is the best method to make the browser use cached versions of js files (from the serverside)? Pressure variation in a sound wave Upgrade from MaaS 2.6.2 to MaaS 2.7 Ubuntu 13.10 to 14.04 Lts does not upgrade, keeps showing error The update from Ubuntu 13.10 to 14.04 LTS does not work it keeps showing me an error as could not calculate the upgrade, even when I want it to get updated from the terminal it says the same error. I did not use the beta its the final Ubuntu 14.04 LTS.I have restarted my laptop for like 5-10 times no change. Disabling the software sources also does not help. How to add greek polytonic with setxkbmap I want to add greek polytonic keyboard layout under Lubuntu (so in LXDE). I already realized there is no easy tool to do it with the graphic interface, so I need to use setxkbmap executing something the like of:  setxkbmap pl,gr   Now, how to make setxkbmap set the greek polytonic variant? Am I on the right track to proving this statement about composite function? Is there any reference where Captain America's shield is made from stolen Wakanda vibranium? Restart my graphics card without rebooting? Switching between virtual console and GUI How to switch between virtual console and GUI in Ubuntu? I wanted to see what key functions would allow me to switch between the two. Removing extra page before and after \tableofcontents My main file generate extra page before \tableofcontents with header title "Table of contents". How can I remove this page?  I am copying the main.tex file code for your reference.   \documentclass[twoside,12pt]{Classes/aesm_edspia}  \begin{document} \addtocounter{page}{-1} \makethese  \onehalfspacing \newpage\thispagestyle{empty}\addtocounter{page}{-5}   %depth in the table of contents and section numbering \setcounter{secnumdepth}{3} \setcounter{tocdepth}{3} \frontmatter  \pagestyle{fancy} \fancyhf{} \fancyhead[LE,RO]{Acknowledgements} \fancyfoot[RO]{\thepage} \fancyfoot[LE]{\thepage} \renewcommand{\headrulewidth}{0.5pt} \renewcommand{\footrulewidth}{0pt}  \pagestyle{fancy} \fancyhf{} \fancyhead[LE,RO]{Table of Contents} \fancyfoot[RO]{\thepage} \fancyfoot[LE]{\thepage} \renewcommand{\headrulewidth}{0.5pt} \renewcommand{\footrulewidth}{0pt}  \input{Abstract/Abstract}  \tableofcontents \listoffigures \listoftables   \mainmatter \pagestyle{fancy} \fancyhf{} \fancyhead[LE,RO]{Introduction} \fancyfoot[RO]{\thepage} \fancyfoot[LE]{\thepage} \renewcommand{\headrulewidth}{0.5pt} \renewcommand{\footrulewidth}{0pt}   \end{document} How can I convert my Java program to an .exe file?