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Calculus I - Assignment Problems
 Review Previous Chapter Next Chapter Derivatives The Limit Previous Section Next Section Limit Properties

## 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)

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)

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)

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.

 The Limit Previous Section Next Section Limit Properties Review Previous Chapter Next Chapter Derivatives

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