Put the function as follows:
We require that to make that function continuous at hence, compute the limit and you'll get the value of and we're done.
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?
Well the assignment is online and it only accepts the correct answer. I tried submitting -1, but the program said it was wrong.
Is there something else that I need to do? I'm still semi-convinced that my final answer should be an equation/formula.
Ahhh. So it was may more simple than I thought.
All I had to do was factor the polynomials and cancel and type in the new function that I got.
But thanks for your help! :]