I was first introduced to infinity when I was younger. I would always ask how many different ways there was to do something. I was told that there is an unlimited amount of different ways to do a certain task.
I never truly understood this until I started building race engines. The above picture is of 2 camshafts I have in the shop. The one on the left is a race engine roller camshaft. The one of the right is a street camshaft. My focus on infinity is finding the acceleration of the lifter as an infinite amount of points along the lobe. This just means the slope of the lobe. As you can see the lobe looks like the shape of an egg with the one on the left being more square then the one on the right. This means the slope of the lobe on the left is more aggresive. In Cal 1 we learned how to calculate the slope at any point of a given curve. My thought on infinity is how many points on that curve or lobe do we need to calculate in order to fully understand the acceleration rate of that lobe.
