Example 13
Evaluate ![](Image523.gif) ![](Image534.gif)
Solution : Let L =
![](Image535.gif)
L = ![](Image523.gif)
Dividing by x3, we get
L =
![](Image537.gif)
L =
![](Image538.gif)
Since
![](Image539.gif)
L =
Example 14
Prove that
![](Image541.gif)
Solution : Let L =
![](Image523.gif) ![](Image542.gif)
=
on rationalization
= ![](Image523.gif) ![](Image544.gif)
=
![](Image545.gif) ![](Image523.gif)
= ![](Image523.gif)
![](Image546.gif) ![](Image523.gif)
Dividing by Öx
= ![](Image547.gif)
![](Image548.gif)
\ L = c/2
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Index
2.1 Modulus
2.2 Inequalities
2.3 Limits Of Functions
2.4 Left Hand And Right Hand Limits
2.5 Theorems On The Algebra Of Limits
2.6 Evaluating Limits
2.7 Limits Of Trigonometric Functions
2.8 The Exponential Limits
Chapter 3
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