A tangent line closely matches a smooth curve near one point. What does that establish?
Answer & explanation
Local fit, with distant accuracy unresolved.
Matching near one point concerns a restricted region. Moving farther can accumulate error as slope changes. The range of use is part of the approximation claim.
How Not to Be Wrong
Chapter 2 · Straight Locally, Curved Globally
AI reviewed · sources pending · version 8
Generally accurate according to an AI review. Sources and this book association have not been verified.