Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - Review Exercises - Page 92: 81

Answer

$\lim\limits_{x\to0^+}\dfrac{\csc{2x}}{x}=+\infty.$

Work Step by Step

$\lim\limits_{x\to0^+}\dfrac{\csc{2x}}{x}=\lim\limits_{x\to0^+}\dfrac{1}{x\sin{2x}}=\dfrac{1}{(0^+)(\sin{[2(0^+)])}}=+\infty.$
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