Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 1 - Limits and Continuity - 1.2 Computing Limits - Exercises Set 1.2: 30

Answer

$\lim\limits_{y \to 4}\frac{4-y}{2-\sqrt y}$ = 4

Work Step by Step

(2 - $\sqrt y$)(2 + $\sqrt y$) = 4 - y. So: $\frac{4-y}{2-\sqrt y}$$\times$$\frac{2+\sqrt y}{2+\sqrt y}$ = $\frac{(4-y)(2+\sqrt y)}{4-y}$ = 2 + $\sqrt y$. Now we have: $\lim\limits_{y \to 4}\frac{4-y}{2-\sqrt y}$ = $\lim\limits_{y \to 4}2 + \sqrt y$ = 2 + $\sqrt 4$ = 4
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.