What is a limit?
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A limit evaluates the behavior of a function at a certain point without actually being on that point.
Sometimes in calculus, we need to assess how a function behaves at a given point, even when the function doesn't have a value at said point.
Scenario: Imagine the function displayed on this coordinate plane represents a road. At x = a, there's a pot-hole on the road, so the road technically "doesn't exist" at that point. Interpret the pot-hole's y-value.
On the pot-hole, the road technically doesn't have a y-value!
Answer: At x = a, the roadway approaches y = b.