What is a limit and how do we get infinitely close to something?
The Wall You Never Touch
What is a limit and how do we get infinitely close to something?
Imagine you're walking toward a wall, but every step you take only covers half the distance left. Half, then half of that, then half of that again. You get closer and closer and closer — but do you ever actually touch the wall? This little puzzle is the heart of one of math's most beautiful ideas: the limit.
A limit is the answer to a sneaky question. Not "where ARE you?" but "where are you HEADED?" You watch something getting closer and closer to a value, and the limit is that value it's aiming for — even if it never quite lands.
