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 - 1.5 Exercises: 42


$\lim\limits_{x\to3^+}(\dfrac{x}{3}+\cot{\dfrac{\pi x}{2}})=1.$

Work Step by Step

$\lim\limits_{x\to3^+}(\dfrac{x}{3}+\cot{\dfrac{\pi x}{2}})\to$ $\lim\limits_{x\to3^+}\dfrac{x}{3}=\dfrac{3^+}{3}=1.$ $\lim\limits_{x\to3^+}\cot{\dfrac{\pi x}{2}}=\cot{\dfrac{3^+(\pi)}{2}}=0.$ $\lim\limits_{x\to3^+}(\dfrac{x}{3}+\cot{\dfrac{\pi x}{2}})=1+0=1.$
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