## Preview of Calculus

Read this section for an introduction to calculus.

### A Unifying Process: Limits

We used a similar processes to "solve" both the tangent line problem and the area problem. First, we found a way to get an approximate solution, and then we found a way to improve our approximation. Finally, we asked what would happen if we
continued improving our approximations "forever", that is, we "took a limit". For the tangent line problem, we let the point get closer and closer and closer to , the limit as approached .
In the area problem, we let the widths of the rectangles get smaller and smaller, the limit as approached 0. Limiting processes underlie derivatives, integrals, and several other fundamental topics in calculus, and we
will examine limits and their properties in Chapter 1.