What are some real life applications of limits? I have been recently taught limits  in calculus but I don't see any real life applications. Are there any? Thanks.

Motion Paradoxes
Actually this is one of the historical reason of the development of limits and calculus. Particularly, the solution to these kind of problems coincide with the birth of modern mathematics in the XVII century and the break with ancient mathematics.
Without calculus and limits, you cannot solve these paradox and prove, for example, that if you move from a poit A to a point B, you can reach the final point B.
