What is the limit lim x→3 √x³ - 2-5 x - 3 3 27 10 9 10 +∞ Does not exist ?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### What is the limit

\[ \lim_{x \to 3} \frac{\sqrt{x^3 - 2} - 5}{x - 3} \]

Select one of the options below:

- ○ 3
- ○ \(\frac{27}{10}\)
- ○ \(\frac{9}{10}\)
- ○ \(+\infty\)
- ○ Does not exist

In this image, we are asked to find the limit of the given function as \( x \) approaches 3. The function is a rational expression involving a square root. There are several multiple-choice options to choose from, including finite values, infinity, and a choice indicating that the limit does not exist.
Transcribed Image Text:### What is the limit \[ \lim_{x \to 3} \frac{\sqrt{x^3 - 2} - 5}{x - 3} \] Select one of the options below: - ○ 3 - ○ \(\frac{27}{10}\) - ○ \(\frac{9}{10}\) - ○ \(+\infty\) - ○ Does not exist In this image, we are asked to find the limit of the given function as \( x \) approaches 3. The function is a rational expression involving a square root. There are several multiple-choice options to choose from, including finite values, infinity, and a choice indicating that the limit does not exist.
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