There are a lot of contexts in which 
is considered well defined.
is considered well defined.For example, if you have 
is it really necessary to say that you have to define that as piecewise(x == 0, undefined, x^2 + 2*x + 1) or can you just define it as x^2 + 2*x + 1 ? If you are writing the derivative of c*x^n for integer n, is it really necessary to define it as piecewise(n == 1 & x == 0, undefined, (c*n)*x^(n-1)) or as piecewise(n == 1 & x == 0, c, (c*n)*x^(n-1)) ? Is the derivative of c*x to be defined differently than the derivative of c*x^1, or do we just have to carry around a whole bunch of special cases to protect against the possibility of evaluating 0^0 when the relevant formula would work fine for any other x^0 ?
is it really necessary to say that you have to define that as piecewise(x == 0, undefined, x^2 + 2*x + 1) or can you just define it as x^2 + 2*x + 1 ? If you are writing the derivative of c*x^n for integer n, is it really necessary to define it as piecewise(n == 1 & x == 0, undefined, (c*n)*x^(n-1)) or as piecewise(n == 1 & x == 0, c, (c*n)*x^(n-1)) ? Is the derivative of c*x to be defined differently than the derivative of c*x^1, or do we just have to carry around a whole bunch of special cases to protect against the possibility of evaluating 0^0 when the relevant formula would work fine for any other x^0 ?
