Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning

Chapter 2 - Section 2.2 - The Limit of a Function - 2.2 Exercises: 20

Answer

The limit does not exist.

Work Step by Step

$\lim\limits_{x \to -3^{-}} \frac{x^{2}-3x}{x^{2}-9}$ $x$ | $f(x)$ -3.5 | 7 -3.1 | 31 -3.05 | 61 -3.01 | 301 -3.001 | 3001 -3.0001 | 30001 $\lim\limits_{x \to -3^{-}} f(x) = \infty$ $\lim\limits_{x \to -3^{+}} \frac{x^{2}-3x}{x^{2}-9}$ $x$ | $f(x)$ -2.5 | -5 -2.9 | -29 -2.95 | -59 -2.99 | -299 -2.999 | -2999 -2.9999 | -29999 $\lim\limits_{x \to -3^{+}} f(x) = -\infty$ $\lim\limits_{x \to -3^{+}} f(x) \ne \lim\limits_{x \to -3^{-}} f(x)$

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