I believe that infinite sums are usually defined in terms of limits, which is why I said that both examples were limits. > By definition, limits approach their

I believe that infinite sums are usually defined in terms of limits, which is why I said that both examples were limits. > By definition, limits approach their target values, they never equal them -- otherwise we would accept division by zero and similar things. I think I would say that a convergent sequence (most of the time that one cares) does not ever reach the target value (though, eventually constant sequences do, but those aren't interesting), but that the limit of the convergent sequence is equal to / is the target value. As opposed to saying that "the limit approaches". The limit isn't the thing that changes with another thing, but the limit of some changing?