Here I would be in pain, but so would I be in Madrid. No difference there. But the airplane is a bit tricky! In the worst case I am only a couple of hours in unendurable pain.
If I am simplyfing a quotient don't I want to avoid having a square root on the bottom? My book has it going from the top to the bottom so I don't see what the point is
@Jordan so by "going from top to bottom" I imagine you mean "multiplying by conjugate and the result has square roots in the bottom but not in the top." They key is that your task is presumably to take a limit, not to "simplify" it. Two different goals may call for two different methods.
@Jordan that's "the answer"? so you're not taking any limits and that's the answer given by the text? then it looks like the text is preparing you for taking limits by warming you up with those manipulations. (the point is not to simplify it, but to massage it into a form in which you can plug in h=0)
