Conditions required for , where
I am having trouble finding the conditions on and in order for:
My first step was to rewrite the equation as:
We have that:
And therefore, equating both sides of the equation, we get:
However, this appears to me to be true , yet if we set and , then the equality does not hold, so I'm not sure where I'm making my error.
I believe that the condition required is when because this is the point at which is discontinuous, however, I am unable to prove that this is the case.