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If the computer is able to boot properly, then you know the issue is likely with some third-party extension or add-on you have installed.
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First try booting to Safe Mode by holding down a Shift key when the system restarts. To tackle a repeated reboot, the first step is to see if you can get the system to load properly in any Mac operating system environment.
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In doing so, odd problems with the files from any of these sources could result in problems that force the system to restart. At this point, the system can load kernel extensions from several sources including boot caches and from the extensions' locations on disk. In the OS X boot process, when the Apple logo is showing, the system has found a valid boot device and will then display a spinning wheel below the Apple logo when the system loads the kernel and its extensions. Therefore, if your Mac is constantly rebooting after displaying the Apple logo, then there might be a problem with the kernel extensions that is preventing the system from booting properly. Once the OS X kernel loads properly, even if there is a problem with background services, the computer will still boot but will just display unwanted behavior such as location services or Spotlight not functioning. In some instances, after crashes, power outages, or changes are made to the system, instead of booting properly the system might display the Apple logo and then reboot, repeating over and over. When you start up your Mac, the system will generally show a gray Apple logo for a brief period followed by the log-in screen or other user interface elements as the rest of the operating system loads.
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