Answer
2
Work Step by Step
$\lim\limits_{x\to 1}$ $\frac{x-1}{\sqrt x-1}$
= $\lim\limits_{x\to 1}$ $\frac{(\sqrt x-1)(\sqrt x+1)}{\sqrt x-1}$
= $\lim\limits_{x\to 1}$ $\sqrt x+1$
= $\sqrt 1$+1
=2
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 2 - Limits - 2.3 Techniques for Computing Limits - 2.3 Exercises - Page 78: 77
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