Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 2 - Limits - 2.2 Definitions of Limits - 2.2 Exercises: 13

Answer

As t approaches 9, the limit if g(t) approaches 0.

Work Step by Step

$g(t)=\frac{t-9}{\sqrt t-3}$ $t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ g(t)$ $8.9 \ \ \ \ \ \ \ \ \ -0.0167$ $8.99\ \ \ \ \ \ \ -0.0017$ $8.999\ \ \ \ \ -0.00017$ $t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ g(t)$ $9.1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.0167$ $9.01\ \ \ \ \ \ \ \ \ \ \ \ 0.0017$ $9.001 \ \ \ \ \ \ \ \ \ \ 0.00017$
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