I have a J-link v8 and want to use it, but I can't find its name in Segger homepage, I want to know what ARM core it support and is it support BeagleBone or RPi.
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The information you need should be on this page, the note at the bottom of the page refers to hardware revision 8 and up which I assume refers to the V8 you have.
In particular the following CPUs are supported: Any ARM7/9/11, Cortex-A5/A8/A9, Cortex-M0/M1/M3/M4, Cortex-R4, RX610, RX621, RX62N, RX62T, RX630, RX631, RX63N
While both the CPUs for the Beaglebone (Cortex-A8) and RPi (ARM11) are supported, I don't think that either board includes the JTAG port by default, you may need to solder pins on to make this available. Some information on the RPi here, the Beaglebone here.
