I've never been taught the analytical version but it works. I don't think we were taught it because it was an engineering maths course as opposed to a pure maths course. As far as I know there are 3 versions of the Heaviside function:
1: H[x]=1 for x>=0
2: H[x]=0 for x<=0
3: H[x] undefined at x=0
Anyway, I'd better stop before I start boring people to tears.
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