Algebraists do it with rings. Analysts do it continuously. Analysts do it smoothly. Analysts do it almost everywhere. Analysts do it to the limit.
Analysts do it with their real parts.
Analytic number theorists do it in the critical strip. Analytic number theorists do it on the critical line. Applied mathematicians do it by computer simulation. Banach spacers do it completely. Bayesians do it with improper priors.