Unable to access NTFS partitions
Access is denied because the NTFS volume is already exclusively opened
Series Summation,Convergence I am stuck on the 4 th one.I have done the rest.I have found out the value of a_n.But not getting how to proceed for the 4 th one. When are infinities okay? I'm a little confused about how to handle infinities in physics. On the one hand, I always here things like infinities are not physically tenable answers. GR can't answer anything about the origin of the universe because of singularities. Throw away the radial solution that gives an infinite potential when solving the Laplace equation in spherical coordinates. But then there are other times that the infinities are okay. For instance, it is usually okay to set the reference point for your potential at infinity. There are certain times in David Tong's quantum field theory lecture notes where he seems to almost to hand wave away infinities. So, philosophically, physically, and mathematically when are infinities okay, and when are they not okay? Changing my iTunes account details Evaluate   $$\lim_{n\rightarrow \infty}\frac{1}{2n}\cdot \ln \binom{2n}{n}.$$   $\underline{\bf{My\;\;Try}}::$ Let $\displaystyle y = \lim_{n\rightarrow \infty}\frac{1}{2n}\cdot \ln \binom{2n}{n} = \lim_{n\rightarrow \infty}\frac{1}{2n}\cdot \ln \left(\frac{(n+1)\cdot (n+2)\cdot (n+3)\cdots (n+n)}{(1)\cdot (2)\cdot (3)\cdots (n)}\right)$  $\displaystyle y = \lim_{n\rightarrow \infty}\frac{1}{2n}\cdot \left\{\ln \left(\frac{n+1}{1}\right)+\ln \left(\frac{n+2}{2}\right)+\ln \left(\frac{n+3}{3}\right)+\cdots+\ln \left(\frac{n+n}{n}\right)\right\}$  $\displaystyle y = \lim_{n\rightarrow \infty}\frac{1}{2n}\cdot \sum_{r=1}^{n}\ln \left(\frac{n+r}{r}\right) = \lim_{n\rightarrow \infty}\frac{1}{2n}\cdot \sum_{r=1}^{n}\ln \left(\frac{1+\frac{r}{n}}{\frac{r}{n}}\right)$  Now Using Reinman Sum  $\displaystyle y = \frac{1}{2}\int_{0}^{1}\ln \left(\frac{x+1}{x}\right)dx = \frac{1}{2}\int_{0}^{1}\ln (x+1)dx-\frac{1}{2}\int_{0}^{1}\ln (x)dx =  \ln (2)$  My Question is , Is there is any method other then that like Striling Approximation OR Stolz–Cesàro theorem OR Ratio Test  If yes then please explain here  Thanks Stuck in a loop at login prompt after changing shell to zsh Error in fontspec (my first question here) I'm using xelatex to compile this code:  \documentclass{book} \usepackage{fontspec}  \begin{document}  %This is a Greek text ``Ελλάδα'' text  \end{document}   and receive this error :  ("C:\Program Files\MiKTeX 2.9\tex\latex\fontspec\fontspec.cfg") ! Undefined control sequence. &lt;argument&gt; \LaTeX3 error:                             Erroneous variable \c__fontspec_shape_n_n_tl used! l.3806 \emfontdeclare{ \emshape, \eminnershape }   My aim is to make LaTeX compile greek letters properly in my pdf, but that's a different issue. I'd like to user a FIDO2 key to log into Windows 10. There are various guides explaining how to add a key to a Microsoft web account, or to Windows 10 sign in options, but neither result in showing up as an option when I try logging into Windows.  How can I configure windows to use my FIDO2 key to log in? Can I update an early Airport Time Capsule? I have an Apple Time Capsule model A1254. It has a 1Tb drive. Is it possible to replace the drive with a larger capacity unit? It seems a shame to replace the whole unit. Thanks $\forall a > 0$ $\sum_{n=1}^{\infty} f(na)$ is convergent. Prove that $\int_{0}^{\infty}f(x) dx$ is convergent. How do I disable usb storage? I'm using Ubuntu 12.04 and I want to block usb storage on it. What is the correct way to do this? What should I do, as my submitted paper is still under review after 1 year? Why does  get a pass, but I can't ask my own book recommendation question? Can I ask my own book recommendation question in a way that is acceptable to the community, like the C++ book list question? How to print variables without spaces between values Best word for "unable to change" In ArcGIS there is a Erase Point tool how can this be done in R What updates should be done to older monsters to bring them in line with MM3 era monsters? I know that to better balance paragon and epic level players against similar level monsters, WotC changed the math used for monsters for MM3, and I believe that they changed some of the types of powers they gave monsters.   If I want to update monsters from MM1 or MM2 to be in line with MM3 era monsters, what changes should I make? $x^{p-1} + ... + x^2 + x + 1$ is irreducible using Eisenstein's criterion? Eisenstein's criterion says that for a prime $p$ if the following conditions are satisfied for a primitive polynomial, $f(x)$, then that polynomial is irreducible in $\mathbb{Z}[x]$  $p \mid a_0, a_0, ..., a_{n-1}$   $p \not\mid a_n$  $p^2 \not\mid a_0^2$  Now I am almost certain I read somewhere that this lemma can be used to prove that the polynomial $x^{p-1} + x^{p-2} + ... + x^2 + x + 1$ is irreducible.  All coefficients are $1$ though and we have have an awkward amount of terms, $p - 1$ terms as opposed to $p$ terms - so how can Eisenstein's criterion be applied here? Using an NSString in a switch statement What is the setting in bash for globbing, to control whether * matches dot files I was surprised recently when I did something like mv ./* ../somedirectory and found that files like .gitignore were not moved.  I do most of my work in zsh on OS X, and this surprise bit me in bash on CentOS.  I tried bash on OS X and found the same behavior: * does not match dot files.  This seems very undesirable to me, but apparently it's the bash default.  (It may be the zsh default too for all I remember, but I may have changed it years ago in my .zshrc and forgotten it ever worked differently.)  How can I configure bash to behave as I expected: for * to match all files, and not ignore dot files.  In case this is at all unclear, here's how to reproduce it    cd /tmp mkdir {t,d}est touch test/{.,}{1,2,3,4,5,6,7} ls -hal test mv test/* dest ls -hal test     # notice dot files are still there ls -hal dest     # notice only some files were mv'ed I have a samba share on my LAN that requires a username and password to obtain write access (otherwise it defaults to read-only).  I can't figure out where in the Unity desktop I can connect to the share and be prompted for my login credentials.  I can mount the drive, of course, but then I'm browsing as a guest (read-only).  What gives?