- For the functions and values of
**a**given below, go through the following steps.

- i.
- Find whether the exists or not. If it does, determine the limit.
- ii.
- For the limits that exist, find a value of that
works for .

- Find the right- and left-hand limits of the following function at
**x=1**. Also, plot the function and relate your limits to the graph.Does exist? Explain your reasoning.

- Suppose that the function is defined by
where

**a**and**b**are parameters. Can you find values for**a**and**b**that will make continuous at**x=0**? Justify your answer.

Thu Sep 7 15:27:05 EDT 1995