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3. Simplification

Example 4 Evaluate   

Solution : Let L =

A word of caution: Do not evaluate limits individually and subtract because ± ¥ are not real numbers. Therefore by simplifying the bracket, we get

4. Rationalization

Example 5  Evaluate  

Solution :  Let L =

Direct substitution of x = 1 yields form which is meaningless. Therefore rationalizing the numerator, we get



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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