How do limits work in calculus?
The same way they work in Pre-Calculus.
Limits convey the action of approaching a coordinate in a graph that may or may not exist in the curve itself, whether it's due to an asymptote or a discontinuity. It tends to describe a value that you are unsure exists and can be used as a systematic way of determining whether or not it does. You can approach from the left or right in a
"The limit as x approaches 0 from the positive/right side of
"The limit as x approaches 0 from the negative/left side of
"The limit as
which basically says that if you zoom in very far into a function, it looks linear and you can use the basic slope formula at that close zoom to find the slope.