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

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

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.