
Limits are truly the backbone of Calculus. It’s the concept that both separated Calculus from the other branches of mathematics and laid the foundation for derivatives and integrals. When you first start your study of limits, you’ll begin like we did today. You’ll be asked to make tables, where you’re intervals, get smaller and smaller until you can determine what value your function is going to, but as you progress you’ll leave behind the tedious task of table-making for more efficient methods.
There’s something weird about staying in your hometown. It severely limits the definitions you accept for what makes you successful. Oddly, most of the hometown definitions of success have nothing to do with happiness. They have to do with becoming what everyone in your past expects or desires given who you used to be. It’s a sort of tether to a past self that no longer exists.