I can't wrap my head around this one. How would you approach finding a limit like this:
I managed to simplify a bit:
but it's not far. The similarity between the roots must be the key, but I've no idea where to start. I welcome any pointers, and appreciate even more if there is a general solution. But I fear this is a specific case.
WolframAlpha gave an answer: 2, but I'm still interested in the solution behind it.