Assuming you meant [0,1], I don't think it's accurate to describe infinitesimals like lim->0 as being equal to zero. Adding an infinite number of infinitesimal

Assuming you meant [0,1], I don't think it's accurate to describe infinitesimals like lim->0 as being equal to zero. Adding an infinite number of infinitesimals gives a nonzero result, but adding an infinite number of zeros does not.