Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Section 2.2 - The Limit of a Function - 2.2 Exercises: 10

Answer

$\lim\limits_{t \to 12^-}f(t)=150$ $\lim\limits_{t \to 12^+}f(t)=300$ The $150$ difference between the right and left hand limits is consistent at $4, 8, 12, 16$ hours. This shows that the amount $f(t)$ of the drug in the bloodstream is suddenly increased by $150$ every $4$ hours reflecting the fact that the patient receives a $150$ mg injection of the drug every $4$ hours.

Work Step by Step

One-sided limits can be found by observing both sides of $f(t)$ as $t$ approaches a certain value.
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