Answer
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Work Step by Step
The secant line $PQ$ will approach the tangent line to the curve at point $P$ when the length of $PQ$ becomes increasingly smaller. In the limit of $PQ\to 0$, the secant becomes the tangent.
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 2 - Graphs and Functions - 2.8 Function Operations and Composition - 2.8 Exercises - Page 288: 42
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