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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 14: Q. 4 (page 905)

find the limit $\lim_{x 鈫� 1^{-}} \sqrt{1 - x^{2}}$

Short Answer

Expert verified

$\lim_{x 鈫� 1^{-}} \sqrt{1 - x^{2}} = 0$

Step by step solution

Step 1. Given information

$\lim_{x 鈫� 1^{-}} \sqrt{1 - x^{2}}$

Step 2. Limit of the function

We can find limit of root function by $\lim_{x 鈫� c} f (x) = f (c)$ if c is in the domain of f(x) and the domain of f(x)= $\sqrt{1 - x^{2}}$ is [-1,1]. So here c is -1 and it is in the domain. So we can use the above formula .

$\lim_{x 鈫� 1} f (x) = f (1) = \sqrt{1 - (1)^{2}} = 0$

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find the limitlimx鈫�1-1-x2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Limit of the function

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find the limit $\lim_{x 鈫� 1^{-}} \sqrt{1 - x^{2}}$