Answer
$\lim_{x\to 0}x\ln|x|=0$.
Work Step by Step
Observe that the function reaches $0$ from both the left-hand side and right-hand side.
Therefore $\lim_{x\to 0}x\ln|x|=0$.
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter 5 - Graphs and the Derivative - 5.4 Curve Sketching - 5.4 Exercises - Page 294: 1
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