Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.5 The Limit of a Function - 1.5 Exercises: 2

Answer

$\lim\limits_{x \to 1^-}$f(x)=3 Look and see what happens to y as x goes to 1 from the left hand side. y goes to 3. $\lim\limits_{x \to 1^+}$f(x)=7 Look and see what happens to y as x goes to 1 from the right hand side. y goes to 7.

Work Step by Step

Under the lim, we see that x goes to $1^-$. The negative sign means that x is approaching 1 from the left hand side. Everything to the right of 1 isn't considered. Then we have f(x)=3 which means y is going to 3. This time, the limit is going to $1^+$. The positive sign means that x is approaching 1 from the right hand side. Then we have f(x)=7 which means y is going to 7.
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