The curve approaches the x-axis when x approaches very large negative numbers, but never touches it. That is x .
We say that the limit of as x approaches is 0. In symbols, we write:
Many functions are continuous, which means they have a smooth, unbroken curve (or line). However, several discontinuous functions have gaps in their graphs. If a curve is discontinuous at a certain point, we can use limits to find the value that the curve approaches at that point.
Find and hence sketch the curve .