Two young mathematicians discuss linear approximation.
- Hmmmm. Riley, I just thought of something…
- What is it?
- When we compute derivatives, we are looking at the slope of tangent lines right?
- You know it.
- Well, I wonder: Instead of studying curves, could we just study ‘‘zoomed-in’’ lines?
- I’m not sure…
You read someplace that is a good approximation for when is close to .