The notion of 'limit' is a purely ordinal notion, not involving quantity at all (except by accident when the series concerned happens to be quantitative)(imp97)

A limit may be defined generally as a term which immediately follows (or precedes) some class of terms belonging to an infinite series, without immediately following (or preceding, as the case may be) any one term of the series(pm277)

dy/dx is the limit of a fraction whose numerator and denominator are finite, but is not itself a fraction at all(pm331)

Acceleration is a mere mathematical limit(pm482)

Weierstrass showed by his theory of limits how the sentences of the differential calculus could be systematically reconstrued so as to draw only on proper numbers as values of the variables, without impairing the utility of the calculus(wo248)