Solved problem for lesson 5

Solved problem for lesson 5

In this section we will see solved problems of section 5.

Example 1:


Solution:

The limit


Example 2:


Solution 2:

The left-hand limit  

The right-hand limit

Since the left- and right-hand limits are not equal, 


Example 3:

 


Solution 3:

The left-hand limit

The right-hand limit

Since  


Example 4:


Solution:


Example 5:

 


Solution 5:


Example 6:


Solution 6:


Example 7:

and


Example 8:


Solution 8:

    


Example 9:


Solution 9:


Example 10:


Solution 10:


Example 11:


Solution 11:


Example 12:


Solution 12:

We can also see in Figure below;

 


Example 13:


Solution 13:


Example 14:


Solution 14:

 

 

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