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Calculus I (Assignment Problems) / Limits / One-Sided Limits   [Notes] [Practice Problems] [Assignment Problems]

Calculus I - Assignment Problems
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 One-Sided Limits

1. Below is the graph of .  For each of the given points determine the value of , , , and .  If any of the quantities do not exist clearly explain why.

 

(a)                       (b)                       (c)                       (d)  

OneSidedLimits_Ex1

 

2. Below is the graph of .  For each of the given points determine the value of , , , and .  If any of the quantities do not exist clearly explain why.

 

(a)                       (b)                       (c)  

OneSidedLimits_Ex2

 

3. Below is the graph of .  For each of the given points determine the value of , , , and .  If any of the quantities do not exist clearly explain why.

 

(a)                       (b)                       (c)                       (d)  

OneSidedLimits_Ex3

 

4. Sketch a graph of a function that satisfies each of the following conditions.

 

 

 

5. Sketch a graph of a function that satisfies each of the following conditions.

 

 

 

6. Sketch a graph of a function that satisfies each of the following conditions.

 

 

 

7. Explain in your own words what each of the following equations mean.

 

 

 

8. Suppose we know that .  If possible, determine the value of  and the value of .  If it is not possible to determine one or both of these values explain why not.

 

9. Suppose we know that .  If possible, determine the value of  and the value of .  If it is not possible to determine one or both of these values explain why not.

 

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Calculus I (Assignment Problems) / Limits / One-Sided Limits    [Notes] [Practice Problems] [Assignment Problems]

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