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 - 1.3 Exercises: 71

Answer

$\lim\limits_{x\to\frac{\pi}{2}}\dfrac{\cos{x}}{\cot{x}}=1.$

Work Step by Step

$\lim\limits_{x\to\frac{\pi}{2}}\dfrac{\cos{x}}{\cot{x}}=\lim\limits_{x\to\frac{\pi}{2}}(\cos{x}\tan{x})=\lim\limits_{x\to\frac{\pi}{2}}\sin{x}=\sin{\frac{\pi}{2}}=1.$
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