Answered: * +1 lim rS1-Vx - 1

Math

Calculus

* +1 lim rS1-Vx - 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.3: Algebraic Expressions

Problem 40E

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

Find the following limits or state that they do not exist. Assume a, b, c, and k are fixed real numbers.

Expert Solution

Step 1

Given: The expression of limit as $\lim_{x \to 1^{-}} \frac{x^{3} + 1}{\sqrt{x - 1}}$ ,

To evaluate: The given limit if exists.

Step by step

Solved in 2 steps

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$Limits and Continuity$

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