How is limits applied in calculus? - Answers

A limit in calculus is our crafty way of getting solutions to problems that either involve infinitesimally small changes or infinitesimally long summations. Think of this as an example: No matter how old or young you are, there is a probability that you'll die tomorrow. However, the probability is never 100%, regardless of how old you are (Unless you're on death row I suppose). You simply don't know for sure. So, theoretically, that would mean you could live forever. Applying a limit to that example, however, would give the definitive answer of 100%.In calculus, limits are the tools we use to derive the differentiation and integration operations.