I have a problem with this limit, I don't know what method to use. I have no idea how to compute it. Can you explain the method and the steps used?  $$\lim _{x\to 0}\left(\frac{x\left(\sqrt{3e^x+e^{3x^2}}-2\right)}{4-\left(\cos x+1\right)^2}\right)$$
I have a problem with this limit, I don't know what method to use. I have no idea how to compute it. Is it possible to compute this limit with the McLaurin expansion? Can you explain the method and the steps used? Thanks. (I prefer to avoid to use L'Hospital's rule.)  $$\lim _{x\to 0}\frac{x\bigl(\sqrt{3e^x+e^{3x^2}}-2\bigr)}{4-(\cos x+1)^2}$$
Cannot install Ubuntu in VirtualBox due to "this kernel requires an x86-64 CPU, but only detects an i686 CPU, unable to boot" error Socket Tester all indicators light up If each suit is represented then we will have two cards from one suit and one card each from the remaining suits. So I am counting the ways this can happen like so -  ${52 \choose 1}$ ways of selecting the first card.  ${12 \choose 1}$ ways of selecting a card from the same suit as the first.  ${13 \choose 1}$ ways of selecting a card for each of the 3 remaining suits.  So I have -  $${52 \choose 1}{12 \choose 1}{13 \choose 1}{13 \choose 1}{13 \choose 1}$$  Then I have the sample space as $52 P 5$ as we are counting with regard to order on the numerator so we need to do the same for the denominator.  So I have $$\frac{{52 \choose 1}{12 \choose 1}{13 \choose 1}{13 \choose 1}{13 \choose 1}}{52P5}$$  Does that look correct? Is it okay to say "Yes you're." instead of "Yes you are."? Possible Duplicate:    I was having an SMS conversation with a friend and somehow &quot;Yes you're&quot; came into play in retaliation to a comment. Example:  Person 1: &quot;You are bad at English&quot;. Person 2: &quot;No I are not.&quot;. Person 1: &quot;Yes you're&quot;.  Is that acceptable? I would assume that it is. Think of &quot;don't&quot;. You can say:  &quot;No, don't.&quot;  or  &quot;I don't.&quot;  and it is a contraction like &quot;you're&quot;. So, is it okay? I posted a question which was closed as off-topic and it seems like it could fit on another site in the network. How can I go about moving it there?   What is migration? When can a question be migrated, and who can migrate it? When should I consider migration, and when is it inappropriate? What causes a migration to be blocked and what happens after? What causes a migration to be rejected and what happens after? Anything else I should know about migration? 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Identify a story about a teen boy who learns to use magic with his lizard companion This is a story that was read on BBC radio about thirty years ago, and this is about as right as I can remember it: The human pilot of a spacecraft is doing some reconnaissance on an alien planet. He crashes but survives. For some reason, no one will know where to look for him. He sees something in the distance that looks like a building of some sort. When he gets there, it seems to be a home. Very much like a human home. There's furniture, but it's strange and uncomfortable . There's food, but it's inedible. There's a faucet but what comes out of it seems more like acid. Everything looks as though it should be right, but it's not. He leaves the house, wanders and after a few days is desperate for water. But there isn't any water anywhere. He's close to death, crawling on the ground and then something happens. There are cracks in the soil and there appears to be water bubbling up from perhaps some underground stream. The water revives him. He goes back to the house and tries the food again. It's delicious and he eats enough to gain back his strength. Then he decides to try the water again. It's pure and wonderful. He takes a shower and the last line of the story is how refreshing the water is on his skin and something about him lifting his tail. Is there way to enable more than 4 GB RAM in 32-bit Windows OS? I upgraded my PC to 4 GB RAM and I get only 3 GB. Windows 7 32-Bit consider that I've 4 GB RAM but didn't use more than 3 GB.  Someone told me that MS Windows 32-bit doesn't support RAM larger than 3 GB.  So please is there any way to make my OS "Windows 7 32-Bit" support more than 3 GB RAM ?  *`Note: I can't move to 64-bit because I've many program doesn't work with a 64-bit OS.  Edit::  I tried what Mr. Wonsungi advised me but whenever I check this option:      Enable support for 4 GB of RAM   I get the following error:      'Cannot access to the registry key   HKEY_CLASSES_ROOT\CLSID\{E88DCCE0-11d1-A9F0-00AA0060FA31}.'   There is no "CLSID" in my registry, I don't know why!. How to plot and solve the numerical solution of a integro-differential equation Problem with IPv6 sudo apt-get update/upgrade I am using Ubuntu 16.04 Beta 2 at the moment and every time I try to update at home via sudo apt-get update or upgrade trough sudo apt-get upgrade I wont get any feedback. Even installing of anything will have the same result. It will just "hang up" on 0% while fetching data.  $ sudo apt-get update [sudo] password for niclas:  0% [Connecting to archive.ubuntu.com (2001:67c:1560:8001::11)] [Connecting to archive.canonical.com (2001:67c:1360:8c01::1b)]   I have no idea how to solve the problem. I already tried to ping6 archive.ubuntu.com with 100% packet loss while just ping wont have any loss.  I changed the DNS-Server (IPv4 &amp; IPv6) to Google's one no solution either. Is there a symbol for "unitless"? Recursive matching with regular expressions in Javascript How should I structure my URLs for both SEO and localization? Why PlotStyle->Dashed make everything dashed? What's a word for someone who is constantly asking for same thing? Hi I'm looking for a word for someone who is constantly asking for something and keeps wanting updates about it. The closest words I can think of is pushy and, to a lesser extent, annoying. But clearly these words don't directly mean what I intend. Why do we use "./" (dot slash) to execute a file in Linux/UNIX? Why do we use ./filename to execute a file in linux?  Why not just enter it like other commands gcc, ls etc... 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