Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 2 - Limits - 2.6 Continuity - 2.6 Exercises - Page 108: 6

Answer

Discontinuous for the zeros of the denominator

Work Step by Step

A rational function fails to be continuous in the points $x$ for which the denominator is zero. If $f(x)=\dfrac{p(x)}{q(x)}$ is a rational function. $f(x)$ fails to be continuous for the zeros of $q(x)$.
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