I asked the same question here but actually no one understood me :      .   But here a drew a figure to understand me :   THIS FUNCTION IS INCREASING IN EVERY EVERY LITTLE BIT CHANGE ,So the function around $\lim_{x\to 2} ≠ g(2)$ (In the second graph which hasn't gap).
I am really satisfied that $(x \to a) ≠(x=a)$ and if that is not right , Then all the process of $Limits$ is dividing by zero and that is a crime.  Since $(x \to a) + h = (x=a)$ , $h ≠ 0$,So Why does $f(x \to a) = f(x = a)$ ?  NOTE:I am talking about continuous function.
Ring isomorphism (polynomials in one variable) Stance on repost question instead of editing to invalidate answers? Trying to open a http website on any web browser (event telnet) gives a ‘ERR_CONNECTION_REFUSED’ or ‘connection timed out’.  However, the same sites can be opened using https. I tried doing a traceroute and it works fine.  I am new to OS X but have experience with Linux. How do I go about troubleshooting this issue?  Update  I think I've tracked down the culprit to a rule in pf (firewall).  The result of sudo pfctl -s nat is:  No ALTQ support in kernel ALTQ related functions disabled rdr pass inet proto tcp from 192.168.0.101 to any port = 80 -&gt; 127.0.0.1 port 9882   192.168.0.101 is the current ip address of the computer.  I tried to remove the rule with sudo pfctl -F all, but it is back after a few seconds. I didn't find the rule in the default configurations (/etc/pf.conf). And disabling pf with sudo pfctl -d has no effect on it.  Is this a malware issue? Can you be sued for using publicly used images on a blog without copyright permission? Lets say I write a blog post about the new Batman movie or a the new Grand Theft Auto game and i decide to use the boxart/poster or a wallpaper as the main image for the blog post,  can I be sued for breach of copyright on this image?  Im pretty sure Warner Bros are going to be hunting anyone down even if it is legal, but is this actually legal? If i buy the DVD or Game and take a picture of it, is this my copyright? When a trailer gets released and put on youTube, can i take a screenshot of this video and use this as an image?  It seems people can get rightly screwed for this, so I would like to know where i stand on this sort of thing. Which is faster/best? SELECT * or SELECT column1, colum2, column3, etc I've heard that SELECT * is generally bad practice to use when writing SQL commands because it is more efficient to SELECT columns you specifically need.  If I need to SELECT every column in a table, should I use   SELECT * FROM TABLE   or   SELECT column1, colum2, column3, etc. FROM TABLE   Does the efficiency really matter in this case? I'd think SELECT * would be more optimal internally if you really need all of the data, but I'm saying this with no real understanding of database.  I'm curious to know what the best practice is in this case.  UPDATE: I probably should specify that the only situation where I would really want to do a SELECT * is when I'm selecting data from one table where I know all columns will always need to be retrieved, even when new columns are added.   Given the responses I've seen however, this still seems like a bad idea and SELECT * should never be used for a lot more technical reasons that I ever though about. prove that $\mathbb{Q}^n$is dense subset of $\mathbb{R^n}$ Prove that $\mathbb{Q}^n$is dense subset of $\mathbb{R^n}$ using the fact that $\mathbb{Q}$ is dense subset  of $\mathbb{R}$  I know that $\mathbb{Q}$ is dense subset  of $\mathbb{R}$ That is, between any two real numbers, there exists a rational number  then how to prove that $\mathbb{Q}^n$is dense subset of $\mathbb{R^n}$ Bash built-ins with no manual entries If $f:\mathbb R \to \mathbb R$ satisfies $f'(x) <L$ for some $L<1$, then $f$ has a unique fixed point How to skip validation when a specific button is clicked? Why does $A\sin{k(x+c)}=a\sin{kx}+b\cos{kx}$ imply that $A=\sqrt{a^2+b^2}$ and $\tan{c}=-b/a$? I don't understand this. These identities are given in the online notes for MIT's 18.01 calculus class. It's related to taking the sum of two trig functions and transforming them into a single trig function. I can use the formulas to do this, but I am having trouble finding anything on the internet to use a proof for my understanding.  Thanks for any responses!  EDITED (added after the first answer):  Sorry, the identity goes like this:  $A\sin{k(x-c)}=a\sin{kx}+b\cos{kx}$ ,  with the relationships  $a=A\cos{kc}$ , $b=-A\sin{kc}$ , $A=\sqrt{a^2+b^2}$ , and $\tan{kc}=-b/a$ Is there a name for "the string of characters typed randomly on a keyboard home row"? I'm looking for one word which describes what a student who missed classes needs to do in order to complete his missing.   For example if he missed biology class he needs to seat with the teacher and study this missed class together with her and then he get the mark for this missed class. Someone -who isn't native English speaker- told me that it's called "rework". But I looked for it in some dictionaries (such as ) and I didn't find such definition.   : "SCHEDULE of reworks of missed classes" Explicitly accept change for PPA 'Label' When I run apt-get update on my ubuntu 17.10 I receive the following error:  E: Repository 'http://ppa.launchpad.net/ondrej/php/ubuntu artful InRelease' changed its 'Label' value from '***** The main PPA for PHP (5.6, 7.0, 7.1) with many PECL extensions *****' to '***** The main PPA for supported PHP versions with many PECL extensions *****' N: This must be accepted explicitly before updates for this repository can be applied. See apt-secure(8) manpage for details."   The man page doesn't really point to a solution.  My question is, how do I explicitly accept the change? Why did Hogwarts Library carry a book containing information on horcruxes if it was a banned subject? Can I update an Mac App purchased by a different Apple ID? the composition was  defined as follow:  (a,b) \in (R;S) &lt;=&gt; there is c | (a,c) \in R  and (c,b) \in S .   If our two relations R and S are two convex polygon   Is there a geometric interpretation of the composition of two convex polygon ? for example :   the green polygon was the result of composition. How can i describe geometrically the result !!! I asked this question at stackoverflow and have been kindly redirected here.  I'd like to align some equations in Latex using the AMS packages. Each equation has two equal signs that need to be aligned. So something in the line of  A = B = C D = E = F   I've tried using the align-environment like this  \begin{align} A &amp;= B &amp;= C \\ D &amp;= E &amp;= F \end{align}   This works in principle (it aligns), however it adds ridiculously large spaces before the second equal sign in each line. But I just want the line to runs as if there was no additional alignment tab. Only when I replace for example "B" by "BBB" I want the equal sign before "F" to shift to right the exact amount of space.  Could anyone help me out on that one? It's kind of driving me crazy since I don't get the idea of that strange behavior and I just can't find any solution. Maybe alignat could help, but I don't really get how that environment works.  Cheers, Oliver Flagging "look at my answer pls" comments I've started to flag a few of these once I had seen one too many of them, but I'm not sure whether I'm doing the right thing.  This is an example of what I'm talking about (this comment is on the question, but sometimes on their own answers too):    Are they something that should be considered acceptable, and if not, are they bad enough to be "flaggable"? What is the most appropriate way to configure biblatex for use with an unsupported language? Installing particular versions when repo has newer versions? Let's have a metapackage which depends on the following packages  Depends: A (=2),  B (=2),  C (=2)   Note the '=' - I want to install these particular versions, not the most recent ones.  Additionally:  B depends on A(>=1)  C depends on B(>=1) and A(>=1)  If the most recent versions of A,B,C in the repository are 2 then this works.  Since I have put version 3 of A and version 3 of B in the repo sudo apt-get install my-meta-package refuses to finish with the following info:  The following packages have unmet dependencies:   my-meta-package: Depends: B (= 2) but 3 is to be installed                    Depends: A (= 2) but 3 is to be installed   If I manually install versions 2 of A and B then the metapackage installs correctly, which strongly suggests that there is no hidden dependency on A3 or B3. This is not a solution for the problem as the metapackage is installed automatically on many machines.  QUESTION: What to do to make sudo apt-get install my-meta-package install versions 2,2,2?  Additionally, is there a way I could get an extended info what actually creates the need for version 3 of A and version 3 of B?