Prove that the following limit is 0  $\lim\limits_{n\to\infty} \frac{1}{n} \sum_{k=1}^{n}{\frac{1}{k}}$  Please I don't know how to do it :S. The harmonic series diverges thus it requires some special trick
Show that  $$\lim \frac{1}{n} \sum_{i=1}^n \frac{1}{i} =0 $$  I've proved that this sequence converges (it is bounded and decreasing). NOW, I need to find a sequence that is bigger than this one and goes to zero. Maybe something using geometric serie of 1/2  Thanks in advance!
How do I compare two string variables in an 'if' statement in Bash? I asked a  recently, looking for examples of an online tool. Per the , I answered my own question with a few examples that I had already found. I did this so that these examples would be included in the answers, along with the rest.  The question has received only down votes and insults saying that this shouldn't be done.   Should I not answer my own questions? interior points and limit points of $\{(x,y): x^2+2y^2 < 1\}$ Find out all interior points and limit points of $ A =\{(x,y): x^2+2y^2 &lt; 1\}$  I understand this problem graphically, but i'm not quite sure how to prove the answer rigorously using mathematical word.  My try : Let k be an element of A, and suppose t is an element of $\{(x,y):x^2+2y^2 =1\}$, which makes minimum $||t-k||$. Then $N(k,\delta)\subset A$ when $\delta = \||t-k||$.  I suppose this will work, but I want more clear and detailed proof.  Thank you in advance. Removing overlapping/duplicate polygons in same layer using QGIS? Why can't I log into minecraft with a mojang account? Which version of NFS is my NFS server using? I'm mounting a NFS filesystem on my machine.  How do I figure out what version of the NFS protocol the server uses?  I don't have access to the NFS server machine, but I do have root on my client machine.  Is there anything I can run on my client machine to identify what version of the NFS protocol is being used by the server, or what versions it supports?  I wasn't able to find any useful information in /var/log/messages or kernel debugging output (dmesg).  I have tried running nfsstat, but I'm not sure if it is giving me any useful information.  However, when I run nfsstat -s to request information about the server, I don't see anything useful:  # nfsstat -s Server rpc stats: calls      badcalls   badfmt     badauth    badclnt 0          0          0          0          0          When I run nfsstat -c to request information about the client, I do see some information about Client nfs v3, but I'm not sure how to interpret this.  Does this tell me anything about the protocol being used between my client machine and the NFS server?  Does it mean I am currently using v3 of the NFS protocol?  Does it tell me anything about what versions of the NFS protocol the server supports, e.g., NFS v4? Table of Contents with Chapter I'm attempting to modify the Table of Contents in my document. Currently, chapter one in my document is listed as   1   Introduction   What I would like to see is  Chapter 1   Introduction   Seems like an easy enough thing to ask for, but can't seem to find a good way to do this. Any feedback would be most appreciative. How can I show that $n! \leqslant \left(\frac{n+1}{2}\right)^n$? Show that $$n! \leqslant \left(\frac{n+1}{2}\right)^n \quad \hbox{for all } n \in \mathbb{N}$$  I know that it can be done by induction but I always find line where I do not know what to do next. Increase close vote weight for gold tag badge holders Remove array element based on object property Suppose that I create Material001  and Material002  in Material Properties and set them to some color. Can I use this 2 items in other buttons like Texture Properties, Object Data Properties etc. ? Where and how do I intertwine them with this button ? When I use , the results I get don't reflect recent activity. Sometimes the data I get back are two months out of date. What's wrong? This is intended to be a canonical reference for questions about SEDE not reflecting real-time results. Review Queues and Ignored Tags Steps to Recreate:   Have enough rep to use some of the review queues. Ignore a popular tag. Go to your profile-> prefs-> check 'hide ignored tags'. Open a review queue.   You will get questions from your ignored tag(s) in the review queue.  Personally, I ignored a tag on Movies.SE (and Scifi.SE) for a film that is out elsewhere in the world, but not locally.  It's a simple way to avoid being exposed to spoilers.  I then load up the First Posts review queue on Movies.SE, and I get an answer to a question about the end of the film.  Can the review queues be altered to skip posts on your ignored tags when you have the 'hide ignored tags' option enabled? How do we control web page caching, across all browsers? Here is the .  Picture:   It's nothing special but I cant figure out why I get problems rigging this mesh. It would be important and a great Help! Thanks for reading and I know there are a lot of guides answering this question but I tried all and it doesn't seem to work. How do I get a DOI for a dataset? A DOI is a commonly used digital object identifier to refer to an electronic document. How do I secure a DOI for a research dataset, to help share and identify it? Let $z \in \Gamma (R)$ where this is the upper semi circle centred at the origin with radius $R&gt;1$. Let $z=x+iy$ with $x \in \mathbb{R}$ and $y \geq 0$. So   $$|e^{i \lambda z}|=|e^{i \lambda z}| |e^{- \lambda y}|= |e^{- \lambda y}|$$  where $\lambda \in \mathbb{R}^{+}$.  How can the last equality possibly be true? "The following packages have been kept back:" Why and how do I solve it? I followed the instructions and got success response but I didn't receive email.  Then I used the id to get Email Status and got 404 error.  Here is my json :  POST :   {     "To": {         "Address": "example@gmail.com",         "SubscriberKey": "example@gmail.com.tw"     },     "Options": {         "RequestType": "ASYNC"     } }   GET : {id}  Please let me know how I can resolve the issue. Uninstall apps locked by phone vendor I'm using a Samsung I9000 and I have some annoying apps that came pre installed by the phone vendor, like a music store, a custom web browser and other memory leaking apps.  Those crappy apps can't be uninstalled neither by Manage applications tool, nor by editing the apps tiles in the front menu.  I guess I have to be a root user or something to get rid of those apps, but I don't know how.