Consider the function . How should f(x) be defined at to be continuous there? Give a formula for the continuous extension of f(x) that includes in its domain.
F(x) = _____
I haven't the slightest idea how to approach this. Do I just edit the original function somehow? This whole idea of changing a function to suit your own needs seems a bit sketchy to me. I've always been skeptical about doing what you want to something mathematic to make it work for you, as I'm paranoid it violates some sort of math rule and can't "really" be done. Either way... any tips on how to start this thing?