what? they’re just for loops (actually they’re better described as reduce operators, but those are not so friendly either). if you mean infinite bounds, it’s just not finitely terminating
If the bounds are infinite then it’s defined by a limit of partial sums, which isn’t the same as a non-terminating algorithm. It would be pretty tough if we couldn’t evaluate limits. It’s also important to understand limits as being a precisely defined operation as opposed to a way of saying “and so on.”
what? they’re just
forloops (actually they’re better described as reduce operators, but those are not so friendly either). if you mean infinite bounds, it’s just not finitely terminatingIf the bounds are infinite then it’s defined by a limit of partial sums, which isn’t the same as a non-terminating algorithm. It would be pretty tough if we couldn’t evaluate limits. It’s also important to understand limits as being a precisely defined operation as opposed to a way of saying “and so on.”