I need to prove if this is true or false.If true then I need to Prove and if false I need to provide an example that disproves the statement.I tried many times but it didnt work.  Note:- Im new so I dont know how to write in the math format so if you know how to  please tell me
Assume  $$\lim_{n\to \infty}  (y_{2n} - y_n)=0$$  then  $$\lim_{n\to \infty} y_n$$  exists.  I know it's not true, and I can see a sequence that disprove that $(1,1,2,1,3,2,4,1,5,3,...)$ but I want a sequence that has formula.  hint/help?  thanks
I updated some entries in the  at C:\WINDOWS\System32\drivers\etc.  As a test, I decided to make Google point to 127.0.0.1.  # Additionally, comments (such as these) may be inserted on individual # lines or following the machine name denoted by a '#' symbol. # # For example: # #      102.54.94.97     rhino.acme.com          # source server #       38.25.63.10     x.acme.com              # x client host  127.0.0.1       localhost ::1             localhost 127.0.0.1       google.com   This works fine on Windows Vista, but not on Widows 7. When I type google.com into my browser, it goes directly to Google's website.  I am not using a proxy server, and I think there might be some temporary DNS settings that need to be flushed, but I'm not sure.  Does anyone know how to fix this? Show $$\frac{(2n)!}{n!\cdot 2^n}$$ is an integer for $n$ greater than or equal to $0$.   Could anyone please help me with this proving? Thanks! Difference beween wiki page, application page, web part page and publishing page There are lots places in msdn sharepoint forums and blogs where these terms are used and I am confused between them. Can anybody clarify? Any way to find out what US Customs & Border Protection has in their database on me? I travel from the US to Canada occasionally (about once per year on average) with my family. We are all US citizens and travel with US passports. Every time we re-enter the United States, I am given extra scrutiny.  Most recently, we used an automated check-in procedure at the airport. These are terminals where you scan your passport &amp; fill out a customs declaration online and it prints a receipt which you take to the customs agent. When I got my receipt, it had a big "X" printed on it and we were directed to a line to talk to an agent.  In the past, I've had questions directed at me or my family: "Have you ever been to New York?", "Do you own any firearms?", and once "Where is your daddy?" directed at my then 4 year old son. The agents also seem to examine my photo &amp; my face more closely than the other members of my family.  We get through customs OK, but it gives me a some anxiety. I suspect that there's someone out there with the same name (I have a pretty common name) who is on a "no fly" list or something.  My question is this: is there any way to find out what they're looking for when they scan my passport &amp; see my name? Like a Freedom of Information request or something? I know I could/should ask when I'm in the line, but as I said, it makes me pretty anxious. I'm looking for a command (or command line program) to toggle (disable/enable) internet access to the outside world in Windows XP machines. It should temporarily block internet access but leave the LAN working.   I looked for ways to change the DNS, but browsers like Chrome keep their own cache. The machines are configured via DHCP. What's the easiest way to unrar a file? I just realized I can't unrar .rar files on my Ubuntu machine!  What's the easiest way to accomplish this fundamental task? If possible I'd love something like 7Zip that I can just right Click, and extract and have the program worry about how to do it regardless if it's a .zip, a .rar or a .foo compressed file. Wouldn't the use of WayneTech by Bane fully expose Bruce Wayne's identity as Batman? How can I use variables in the LHS and RHS of a sed substitution? Removing text between two specific strings Making some tests in Windows XP for customizing a user interface in QGIS 1.8 (see ), I have unchecked, among other options, the Settings Menu. This means that, after restarting QGIS, there's no way of recovering the older settings because there is not already a Setting Menu. So, I cannot reload any ini file.  For your information, as a precaution, previously I have saved in a folder both the original ini file, with all the options, and the customized ini file with only some options (of course, not included here the necessary Settings Menu).  Before reinstalling QGIS (version 1,8), I would like to try other smarter options if there's any. Where and what does QGIS look at where this applications starts? How to get exact camera view? Determine when $\sum_1^\infty \frac{(2n)!x^n}{n(n!)^2}$ converges. By ratio test, when $|x|&lt;1/4$, the sum converges, $|x|&gt;1/4$ diverges. But I'm not sure about $|x|=1/4$. By Stirling's approximation $\frac{(2n)!(1/4)^n}{n(n!)^2}\sim\frac{4^n}{n{4^n}\sqrt{ \pi n}}\sim\frac{1}{\sqrt{\pi}n^{3/2}}$, so when $|x|=1/4$, the sum converges. But I haven't learned Stirling's approximation yet, so how to prove that when $|x|=1/4,$ the sum converges, without using it? Determine the number of lines within a text file Is there an easy way to programmatically determine the number of lines within a text file? In doing instanton problems or when connecting quantum field theory to statistical mechanics, I often see people trying the Wick rotation trick by defining an imaginary time $\tau\equiv it$. So, in this case, we should make sure that $\tau$ is imaginary, right? However, I often see places where people seem to handle $\tau$ as a real number, for example setting $\tau$ to $\pm\infty$. Moreover, I remember in one of my quantum mechanics classes, the professor said the Euclidean time $\tau$ was real. I am so confused and need some good explanations. How do I set up a shipping condition that accesses the value of a specific field in product? I have a term reference field in product called "Weight" with values "Light", "Medium" &amp; "heavy". I am using flat rate shipping service and trying to check the value of "Weight" field in Calculation rules.I know that I need to expose it by using "entity has field" but I end up having  commerce-line-item:order:commerce-line-items:0 commerce-line-item:order:commerce-line-items:1 commerce-line-item:order:commerce-line-items:2 commerce-line-item:order:commerce-line-items:3 commerce-line-item:order:commerce-line-items:0... commerce-line-item:order:commerce-line-items:1... commerce-line-item:order:commerce-line-items:2... commerce-line-item:order:commerce-line-items:3...    I was able to get to the weight field by using any of them and then did a Data Comparison  commerce-line-item:order:commerce-line-items:0:commerce-product:field-product-weight   this condition worked ok first time but not after that. can anyone please help me on this or if you think of another solution please let me know. Thanks 18.04.01 Not available for server I'm trying to use push with AppInbox/Cloud Pages. I want the Cloud Page that is linked to the push message to be able to display dynamic content based on an attribute for that contact. This page -  - says that it is possible to personalise Cloud Page content but doesn't say how. I've already had a Salesforce support case opened and closed with no luck - apparently it's not their job to assist me with how to do something even if they say something is possible but back it up with no documentation for how it might be done. I've tried the normal way you'd do it from an email, using both the _subscriberkey personalisation string as well as the RequestParameter function with fields from the entry source DE, but neither of these work. Given you're selecting a static Cloud Page when you set up the send and there's no visible way to add attributes, how do you actually get a Cloud Page to pick up these values? can I reflectively instantiate a generic type in java? Is it possible to reflectively instantiate a generic type in Java? Using the technique described  I get an error because class tokens cannot be generic. Take the example below. I want to instantiate some subclass of Creator that implements Creator. The actual class name is passed in as a command line argument. The idea is to be able to specify an implementation of Creator at runtime. Is there another way to accomplish what I'm trying to do here?  public interface Creator&lt;T&gt; {     T create(); } public class StringCreator implements Creator&lt;String&gt; {     public String create() { return new String(); } } public class FancyStringCreator implements Creator&lt;String&gt; {     public String create() { return new StringBuffer().toString(); } } public static void main(String[] args) throws Exception {     Class&lt;?&gt; someClass = Class.forName(args[0]);     /*ERROR*/Class&lt;? extends Creator&lt;String&gt;&gt; creatorClass = someClass.asSubclass(Creator.class);     Constructor&lt;? extends Creator&lt;String&gt;&gt; creatorCtor = creatorClass.getConstructor((Class&lt;?&gt;[]) null);     Creator&lt;String&gt; creator = creatorCtor.newInstance((Object[]) null); }   Edit: I like Marcus' approach as being the most simple and pragmatic without circumventing the whole generics thing. I can use it in my situation because I can specify that the class passed must be a subclass of StringCreator. But as Ericson pointed out the generic information is still there at the type level, just not at the runtime level so it is still possible to reflectively examine whether a given class implements the correct generic type. When does the amount of skew or prevalence of outliers make the median preferable to the mean? I know that "deviations in the data are devil", and when the distribution is highly skewed, it is better to consider median as average rather than mean, but how to decide these hard-limits.  For example:   CASE 1:   Assume X = 10,20,30,40,50,60,70 In this case, I think that it is better to use mean and that it will give very accurate results.  CASE 2:   Assume X = 10,20,30,40,50,60,70,7000 In this case, I think that it is better to use median instead of using the mean.  CASE 3:    Assume X = 10,20,30,400,500,600,700 In this case, I think it is better to use IQR (Inter Quartile Range)    But I'm stuck with how to decide these hard-limits i.e. which to use in which condition, in general.   I've found a tool working on subjected principle, which takes context-less sample-distribution as input and determines whether mean is close/moderate or against the null-hypothesis.  Find References:-     (For Mean Test)  (For Median Test)   What I'm really looking is a good answer which states how to derive these conclusions. Does this sentence seem weird?