Maybe it's elementary, but is it possible that a non-negative continuous function satisfies $\int_{0}^{\infty}f(x)dx$ exists (finite) and the limit $\lim_{x\to\infty}f(x)$ doesn't exist (neither finite nor infinite)?   Also, is it possible to find a function such that the integral $\int_{0}^{\infty}f(x)dx$ exists (finite) but $f(x)$ is not bounded?  If you could show me examples it would be appreciated. If these are not possible, please explain why.
I am wondering whether there exists a function such that:  $$\lim_{x \rightarrow a}f(x)=\infty$$  at some point $a$ on the real axis but yet,  $$\int_{-\infty}^{+\infty}\left|f(x)\right|\ dx&lt;\infty$$  Does the fact that a function is unbounded imply that it has no finite integral?
How do i testfor a item a player is holding? replace internal memory Is it possible to replace internal memory of a android phone ?  How difficult it is?  Is internal memory part of System On Chip itself, so that it is next to impossible to remove them ?  Have anybody tried this out ?  My device is "Redmi Note" - but you can consider this as a generic question. If these is any device where replacing internal memory is  possible, I will switch to that device :)  Thanks Do you ever need to specify 'javascript:' in an onclick? I bought a Magic the Gathering display box today with cards from the new edition Innistrad. Unfortunately one of the cards in a booster pack was damaged. It is not just a simple scratch - one corner is bent and a small part of the card is missing. According to different trading platforms this card would be worth about 6 Dollars minimum in mint condition. So it is not really expensive but also not totally worthless.  What can I do about this? Can I obtain a replacement card from the producer (WotC) or from the store I bought it from? How can I prove that the card was damaged when I opened the booster pack? I am sure I am not the first person who got a damaged card from a booster pack. How are such issues usually handled? A does the same B as does C I lost control of my account before registering, can it be recovered? JavaScript open in a new window, not tab I have a select box that calls window.open(url) when an item is selected.  Firefox will open the page in a new tab by default.  However, I would like the page to open in a new window, not a new tab.    How can I accomplish this? Why are there no other dragons in ASOIAF? how to host multiple pages from diferent domains all together? Ubuntu 17.10 and later: can't change the input switching shortcut to alt+shift When I try to set the default combo for switching to different language layouts in my keyboard from Shift+Super+Space to Alt+Shift I can't.  I used to have this combo since Ubuntu 14 and even before that when I used to have Windows. Now for some stupid reason it does not allow (actually nothing happens its not like I get an error or the combo is used elsewhere). How could I bypass this bug? Phase Potentials Looking to get a explanation of the following solution.   $x'=sinx$ I understand that you must integrate $sinx$ and then take the negative of it making it $v(x)=cos(x) + c = cos(x)$ with $c=0$. However I am having problems understanding the equilibrium points.   The equilibrium points of this system are,  $$x^*=kz$$ $x*=kz$ k is even, this is unstable $x^*=kz$ k is odd, are stable  Why is it unstable when even and stable when even? $[F(t):F(t^n)]=n$ where $t$ is trascendental Reasons why not to update an Ubuntu version to a newer/older kernel version I had several friends ask me to update their Ubuntu to a newer kernel without changing the version of Ubuntu. So for example, staying in 10.04 with the 3.3 Kernel version.  When having an older or present Ubuntu version, many users want to apply the newer stable/unstable kernel version to the Ubuntu version they are using thinking that it is similar to upgrading a program. So what I am looking for, are some simple answers to explain the dangers (that are pretty much bigger than the advantages) of forcing a newer kernel version in a Ubuntu release that was not meant for it.  What can I tell them or explain to them of why they should NOT update to a newer/older kernel when having an Ubuntu version that was not made for that kernel version. Title of 80's movie: future-era timetraveling humans go extinct and rescue/kidnap todays air crash victims What is the title of a 80's (i believe?) movie where humans in the far future are going extinct, and are aquiring new humans by going back in time to todays world, kidnapping air travelers that are known to have died that day, from the flying passenger aircraft just before its crashing.  A key visual:    Inside a hangar, a time portal opened, and a tail of a (flying) passenger aircraft extruded into the hangar where a stairs provided access to the back door of the aircraft.  The kidnappers made sure the surviving passengers remain seated and would forget about the whole ordeal. Kidnapped humans got replaced by lookalike dummies, including things they had on them. They tried hard not to alter the timeline. From the movies we know that Obi-Wan Kenobi delivered Luke Skywalker to Owen and Beru Lars to raise on Tatooine shortly after Luke was born at the end of RotS (Episode 3).   The next think we know is Luke running into Ben Kenobi during A New Hope.   There seems to be a hint that there was at least SOME communication between Kenobi and Lars family based on him telling Luke:     Your father wanted you to have this when you were old enough, but your uncle wouldn't allow it.   (though it's possible that was referring to Kenobi offering to leave the lightsaber to Larses at the same time he dropped off Luke)  I was wondering if any details of what transpired between Kenobi and Larses in the years between RotS and ANH were noted in any canonical works (of any canon, including EU books/games/comics/etc...)? How can I send an email using a template? I have created a email template in ExactTarget API and I want to use it executing XML from SoapUI.  Is there any tutorial or examples of how can this be done?  I'm new at this and I'm not sure how ExactTarget really works. Downloading PlayOnLinux I'm downloading PlayOnLinux to run Paint Tool SAI, but I cannot open PlayOnLinux. When I click on it to open it, a dialog box comes up that says: "PlayOnLinux cannot find curl (from cURL) You need to install it to continue". How do I install this?   I'm referring to this article: Is it feasible to transform each variable differently while doing multiple regression What's the 1 inch square knob sticking out of the wall? I have a question about the pattern "turn &lt;something&gt; on &lt;somebody&gt;" :     Then he allegedly turned the body-building equipment on his 44 year-old wife, identified by sources as Feng Liang, and his elderly mother-in-law, Feng Kun Zaehng,77, the sources said.     I understand the phrase "*turn the gun on &lt;somebody&gt;", am not sure about "turn the equipment on &lt;somebody&gt;".  Could the example be wrong?