Compute $\lim_{n\rightarrow\infty}\sqrt[{n+1}]{(n+1)!}-\sqrt[n]{n!}$
Computation of a limit involving factorial $\lim_{n \to \infty} \sqrt[n+1] {(n+1)!} - \sqrt[n] {(n)!} = \frac{1}{e}$
"Holmby hall" or "The Holmby Hall", does the hall have to be capital in either of them? Why can `root` run any command as any user without providing password? My /etc/sudoershas content:  Defaults        env_reset Defaults        mail_badpass Defaults        secure_path="/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/snap/bin"  # Host alias specification  # User alias specification  # Cmnd alias specification  # User privilege specification root    ALL=(ALL:ALL) ALL  # Members of the admin group may gain root privileges %admin ALL=(ALL) ALL  # Allow members of group sudo to execute any command %sudo   ALL=(ALL:ALL) ALL  # See sudoers(5) for more information on "#include" directives:  #includedir /etc/sudoers.d   There is no rule above specifying NOPASSWD. I was wondering  why user root seem to be able to execute any command as any user without providing password?  Thanks. Can somebody help me with the execute commands in Minecraft? Recently, Minecraft had removed the /testfor command, which broke these sets of commands that I was trying to execute today.  /testfor @p[r=10] {SelectedItem:{id:"minecraft:feather",tag:{display:{Name:"Roc's Feather",Lore:[Jump higher using this feather.]}}}}`   Now normally, from Minecraft 1.13 onwards, the new /execute command would've been the replacement for the /testfor command, but as I soon found out, the command failed to detect my Roc's Feather and thus could not execute an /effect command that gave me a Jump Boost, for 1 second, at level 3.  I tried remaking my feather from scratch with this command here:  /give @p minecraft:feather{display:{Name:"{\"text\":\"Roc's Feather\",\"color\":\"light_purple\",\"bold\":true,\"italic\":true,\"underlined\":false,\"strikethrough\":false,\"obfuscated\":false}",Lore:["{\"text\":\"Jump higher using this feather.\",\"bold\":false,\"italic\":true,\"underlined\":false,\"strikethrough\":false,\"obfuscated\":false}"]}} 1   But the execute command I placed did not detect this type of uniqueness.  /execute if entity @p[distance=10,nbt={SelectedItem:{id:"minecraft:feather",Count:1b,tag:{display:{Name:"{\"text\":\"Roc's Feather\",\"color\":\"light_purple\",\"bold\":true,\"italic\":true,\"underlined\":false,\"strikethrough\":false,\"obfuscated\":false}",Lore:["{\"text\":\"Jump higher using this feather.\",\"bold\":false,\"italic\":true,\"underlined\":false,\"strikethrough\":false,\"obfuscated\":false}"]}}}}] run effect give @s minecraft:jump_boost 1 3 true   Can somebody tell me what I'm doing wrong here because I cannot even tell what's the issue. Formula for completing the square? My math teacher said that this was the formula for completing the square.  Original function: $$ax^2 + bx + c$$ Completed square: $$a\left(x + \frac{b}{2a}\right)^2 - \frac{b^2}{4a} + c$$  However, using this formula I'm not getting the same answers that I would get just by determining the stuff myself.  Is this correct? How do I run two isolated instances of firefox? For testing purposes, I want to install two different instances of firefox on ubuntu - so that they don't share cookies. (I want to simultaneously login with both instances as different users to our website).  How do I do that? I do it with Firefox &amp; Opera, but I prefer Firefox (because of firebug). How can I restrict the Normal user to run the only limited set of commands in RHEL? What is the easiest way to superscript text outside of math mode?  For example, let's say I want to write the $n^{th}$ element, but without the math mode's automatic italicization of the th.  And what if I still want the n to be in math mode, but the th outside? How do I use sudo to redirect output to a location I don't have permission to write to? Newton's cradle Is the sub-field of algebraic elements of a field extension of $K$ containing roots of polynomials over $K$ algebraically closed? "debconf: DbDriver "config": config.dat is locked by another process: Resource temporarily unavailable" while installing packages Multiple workspaces on Ubuntu 18.04.1 LTS and later with GNOME Shell Any idea how to have more than 2 workspaces on Ubuntu 18.04.1? packed vs unpacked vectors in system verilog Looking at some code I'm maintaining in System Verilog I see some signals that are defined like this:  node [range_hi:range_lo]x;   and others that are defined like this:  node y[range_hi:range_lo];   I understand that x is defined as packed, while y is defined as unpacked.  However, I have no idea what that means.  What is the difference between packed and unpacked vectors in System Verilog?  Edit: Responding to @Empi's answer, why should a hardware designer who's writing in SV care about the internal representation of the array?  Are there any times when I shouldn't or can't use packed signals? I have an Android phone which is connected to a secured Wi-Fi hotspot.  How can I find out the password of the hotspot from the phone? Finding the remainder of $\overbrace{11\ldots1}^{123 \text{ times}}$ divided by $271$ How do I get rid of eggs? Is there a way to hide pictures from being shown in Gallery How to make a teleport command that does not work in the Nether? I have a vanilla server 1.8.7 that uses a book to tp players to spawn or to their home (an invisible armor stand with their uuid connected to it). Problem is, if they set home (place their armor stand) in the overworld and go to the nether and try to tp home (activated using a trigger), it sends them to the same co-ordinates in the nether, and most likely kills them.   I did some digging, and there seems to be a dimension parameter, but I can't quite figure out the syntax or how to get it to work.  I updated the command block to:  /tp @a[score_tpHome_min=1,Dimension=0] 68 68 68   I was hoping it would only tp the player when they were in the overworld (Dimension 0), but it seems to be ignoring that parameter in the nether and still teleporting to those co-ordinates in the nether.   I also tried:  /tp @a[score_tpHome_min=1,Dimension:0] 68 68 68   Which is the way other people were using the parameter in other ways, but that gave an error. Keyboard layout indicator sometimes disappears Ubuntu 18.04.1 after some update Can we get by as English speakers visiting Iceland? We're going to Iceland for the first time in September. Will we be able to get around ok just speaking English, or should we try to learn some rudimentary Icelandic? And is that even what their language is called?